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Finding the Fourth Proportional to 115,806, 159,816.60 and 65,503.92

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Solution

The fourth proportional to 115,806, 159,816.60 and 65,503.92 is: 90,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,806 : 159,816.60 = 65,503.92 : x
  2. Step 2: Convert to fraction form
    115,806/159,816.60 = 65,503.92/x
  3. Step 3: Cross multiply
    115,806x = 159,816.60 × 65,503.92
  4. Step 4: Simplify right side
    115,806x = 10,468,613,781.07
  5. Step 5: Solve for x
    x = 10,468,613,781.07/115,806
  6. Step 6: Final answer
    x = 90,397.85

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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.