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Finding the Fourth Proportional to 82,005.40, 123,008.10 and 74,747.80

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Solution

The fourth proportional to 82,005.40, 123,008.10 and 74,747.80 is: 112,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,005.40 : 123,008.10 = 74,747.80 : x
  2. Step 2: Convert to fraction form
    82,005.40/123,008.10 = 74,747.80/x
  3. Step 3: Cross multiply
    82,005.40x = 123,008.10 × 74,747.80
  4. Step 4: Simplify right side
    82,005.40x = 9,194,584,857.18
  5. Step 5: Solve for x
    x = 9,194,584,857.18/82,005.40
  6. Step 6: Final answer
    x = 112,121.70

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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.