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Finding the Fourth Proportional to 71,517.52, 98,695.26 and 39,688.48

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Solution

The fourth proportional to 71,517.52, 98,695.26 and 39,688.48 is: 54,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.52 : 98,695.26 = 39,688.48 : x
  2. Step 2: Convert to fraction form
    71,517.52/98,695.26 = 39,688.48/x
  3. Step 3: Cross multiply
    71,517.52x = 98,695.26 × 39,688.48
  4. Step 4: Simplify right side
    71,517.52x = 3,917,064,852.60
  5. Step 5: Solve for x
    x = 3,917,064,852.60/71,517.52
  6. Step 6: Final answer
    x = 54,770.70

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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.