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Finding the Fourth Proportional to 99,721.66, 137,558 and 65,735.50

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Solution

The fourth proportional to 99,721.66, 137,558 and 65,735.50 is: 90,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,721.66 : 137,558 = 65,735.50 : x
  2. Step 2: Convert to fraction form
    99,721.66/137,558 = 65,735.50/x
  3. Step 3: Cross multiply
    99,721.66x = 137,558 × 65,735.50
  4. Step 4: Simplify right side
    99,721.66x = 9,042,443,909
  5. Step 5: Solve for x
    x = 9,042,443,909/99,721.66
  6. Step 6: Final answer
    x = 90,676.83

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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.