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Finding the Fourth Proportional to 82,113.62, 123,170.42 and 19,784.12

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Solution

The fourth proportional to 82,113.62, 123,170.42 and 19,784.12 is: 29,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,113.62 : 123,170.42 = 19,784.12 : x
  2. Step 2: Convert to fraction form
    82,113.62/123,170.42 = 19,784.12/x
  3. Step 3: Cross multiply
    82,113.62x = 123,170.42 × 19,784.12
  4. Step 4: Simplify right side
    82,113.62x = 2,436,817,803.34
  5. Step 5: Solve for x
    x = 2,436,817,803.34/82,113.62
  6. Step 6: Final answer
    x = 29,676.17

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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.