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Finding the Fourth Proportional to 129,005.52, 178,022.42 and 71,647.80

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Solution

The fourth proportional to 129,005.52, 178,022.42 and 71,647.80 is: 98,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,005.52 : 178,022.42 = 71,647.80 : x
  2. Step 2: Convert to fraction form
    129,005.52/178,022.42 = 71,647.80/x
  3. Step 3: Cross multiply
    129,005.52x = 178,022.42 × 71,647.80
  4. Step 4: Simplify right side
    129,005.52x = 12,754,914,743.68
  5. Step 5: Solve for x
    x = 12,754,914,743.68/129,005.52
  6. Step 6: Final answer
    x = 98,871.08

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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.