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Finding the Fourth Proportional to 82,116.99, 123,175.49 and 19,787.49

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Solution

The fourth proportional to 82,116.99, 123,175.49 and 19,787.49 is: 29,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.99 : 123,175.49 = 19,787.49 : x
  2. Step 2: Convert to fraction form
    82,116.99/123,175.49 = 19,787.49/x
  3. Step 3: Cross multiply
    82,116.99x = 123,175.49 × 19,787.49
  4. Step 4: Simplify right side
    82,116.99x = 2,437,333,677.68
  5. Step 5: Solve for x
    x = 2,437,333,677.68/82,116.99
  6. Step 6: Final answer
    x = 29,681.24

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.