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Finding the Fourth Proportional to 115,729.22, 159,706.42 and 67,983.14

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Solution

The fourth proportional to 115,729.22, 159,706.42 and 67,983.14 is: 93,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,729.22 : 159,706.42 = 67,983.14 : x
  2. Step 2: Convert to fraction form
    115,729.22/159,706.42 = 67,983.14/x
  3. Step 3: Cross multiply
    115,729.22x = 159,706.42 × 67,983.14
  4. Step 4: Simplify right side
    115,729.22x = 10,857,343,909.76
  5. Step 5: Solve for x
    x = 10,857,343,909.76/115,729.22
  6. Step 6: Final answer
    x = 93,816.79

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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.