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Finding the Fourth Proportional to 65,487.48, 98,231.92 and 52,422.90

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Solution

The fourth proportional to 65,487.48, 98,231.92 and 52,422.90 is: 78,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,487.48 : 98,231.92 = 52,422.90 : x
  2. Step 2: Convert to fraction form
    65,487.48/98,231.92 = 52,422.90/x
  3. Step 3: Cross multiply
    65,487.48x = 98,231.92 × 52,422.90
  4. Step 4: Simplify right side
    65,487.48x = 5,149,602,118.97
  5. Step 5: Solve for x
    x = 5,149,602,118.97/65,487.48
  6. Step 6: Final answer
    x = 78,634.91

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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.