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Finding the Fourth Proportional to 99,806.97, 137,778.53 and 65,835.57

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Solution

The fourth proportional to 99,806.97, 137,778.53 and 65,835.57 is: 90,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.97 : 137,778.53 = 65,835.57 : x
  2. Step 2: Convert to fraction form
    99,806.97/137,778.53 = 65,835.57/x
  3. Step 3: Cross multiply
    99,806.97x = 137,778.53 × 65,835.57
  4. Step 4: Simplify right side
    99,806.97x = 9,070,727,727.13
  5. Step 5: Solve for x
    x = 9,070,727,727.13/99,806.97
  6. Step 6: Final answer
    x = 90,882.71

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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.