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Finding the Fourth Proportional to 129,505.01, 178,721.78 and 71,364.20

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Solution

The fourth proportional to 129,505.01, 178,721.78 and 71,364.20 is: 98,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,505.01 : 178,721.78 = 71,364.20 : x
  2. Step 2: Convert to fraction form
    129,505.01/178,721.78 = 71,364.20/x
  3. Step 3: Cross multiply
    129,505.01x = 178,721.78 × 71,364.20
  4. Step 4: Simplify right side
    129,505.01x = 12,754,335,601.85
  5. Step 5: Solve for x
    x = 12,754,335,601.85/129,505.01
  6. Step 6: Final answer
    x = 98,485.27

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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.