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Finding the Fourth Proportional to 138,294.50, 207,472.95 and 42,240.32

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Solution

The fourth proportional to 138,294.50, 207,472.95 and 42,240.32 is: 63,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.50 : 207,472.95 = 42,240.32 : x
  2. Step 2: Convert to fraction form
    138,294.50/207,472.95 = 42,240.32/x
  3. Step 3: Cross multiply
    138,294.50x = 207,472.95 × 42,240.32
  4. Step 4: Simplify right side
    138,294.50x = 8,763,722,761.98
  5. Step 5: Solve for x
    x = 8,763,722,761.98/138,294.50
  6. Step 6: Final answer
    x = 63,370.00

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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.