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Finding the Fourth Proportional to 71,529.92, 98,713.32 and 39,266

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Solution

The fourth proportional to 71,529.92, 98,713.32 and 39,266 is: 54,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,529.92 : 98,713.32 = 39,266 : x
  2. Step 2: Convert to fraction form
    71,529.92/98,713.32 = 39,266/x
  3. Step 3: Cross multiply
    71,529.92x = 98,713.32 × 39,266
  4. Step 4: Simplify right side
    71,529.92x = 3,876,077,223.12
  5. Step 5: Solve for x
    x = 3,876,077,223.12/71,529.92
  6. Step 6: Final answer
    x = 54,188.19

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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.