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Finding the Fourth Proportional to 129,308.64, 193,930.56 and 91,759.20

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Solution

The fourth proportional to 129,308.64, 193,930.56 and 91,759.20 is: 137,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,308.64 : 193,930.56 = 91,759.20 : x
  2. Step 2: Convert to fraction form
    129,308.64/193,930.56 = 91,759.20/x
  3. Step 3: Cross multiply
    129,308.64x = 193,930.56 × 91,759.20
  4. Step 4: Simplify right side
    129,308.64x = 17,794,913,041.15
  5. Step 5: Solve for x
    x = 17,794,913,041.15/129,308.64
  6. Step 6: Final answer
    x = 137,615.81

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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.