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Finding the Fourth Proportional to 101,616.40, 140,229.12 and 56,294.29

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Solution

The fourth proportional to 101,616.40, 140,229.12 and 56,294.29 is: 77,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,616.40 : 140,229.12 = 56,294.29 : x
  2. Step 2: Convert to fraction form
    101,616.40/140,229.12 = 56,294.29/x
  3. Step 3: Cross multiply
    101,616.40x = 140,229.12 × 56,294.29
  4. Step 4: Simplify right side
    101,616.40x = 7,894,098,747.72
  5. Step 5: Solve for x
    x = 7,894,098,747.72/101,616.40
  6. Step 6: Final answer
    x = 77,685.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.