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Finding the Fourth Proportional to 71,581.70, 107,411.16 and 42,057.20

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Solution

The fourth proportional to 71,581.70, 107,411.16 and 42,057.20 is: 63,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,581.70 : 107,411.16 = 42,057.20 : x
  2. Step 2: Convert to fraction form
    71,581.70/107,411.16 = 42,057.20/x
  3. Step 3: Cross multiply
    71,581.70x = 107,411.16 × 42,057.20
  4. Step 4: Simplify right side
    71,581.70x = 4,517,412,638.35
  5. Step 5: Solve for x
    x = 4,517,412,638.35/71,581.70
  6. Step 6: Final answer
    x = 63,108.48

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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.