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Finding the Fourth Proportional to 71,079.92, 106,641.78 and 51,134.48

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Solution

The fourth proportional to 71,079.92, 106,641.78 and 51,134.48 is: 76,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,079.92 : 106,641.78 = 51,134.48 : x
  2. Step 2: Convert to fraction form
    71,079.92/106,641.78 = 51,134.48/x
  3. Step 3: Cross multiply
    71,079.92x = 106,641.78 × 51,134.48
  4. Step 4: Simplify right side
    71,079.92x = 5,453,071,966.57
  5. Step 5: Solve for x
    x = 5,453,071,966.57/71,079.92
  6. Step 6: Final answer
    x = 76,717.47

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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.