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Finding the Fourth Proportional to 129,095.74, 193,229.20 and 68,973.97

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Solution

The fourth proportional to 129,095.74, 193,229.20 and 68,973.97 is: 103,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,095.74 : 193,229.20 = 68,973.97 : x
  2. Step 2: Convert to fraction form
    129,095.74/193,229.20 = 68,973.97/x
  3. Step 3: Cross multiply
    129,095.74x = 193,229.20 × 68,973.97
  4. Step 4: Simplify right side
    129,095.74x = 13,327,785,043.92
  5. Step 5: Solve for x
    x = 13,327,785,043.92/129,095.74
  6. Step 6: Final answer
    x = 103,239.54

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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.