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Finding the Fourth Proportional to 129,231.91, 178,339.08 and 71,871.76

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Solution

The fourth proportional to 129,231.91, 178,339.08 and 71,871.76 is: 99,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,231.91 : 178,339.08 = 71,871.76 : x
  2. Step 2: Convert to fraction form
    129,231.91/178,339.08 = 71,871.76/x
  3. Step 3: Cross multiply
    129,231.91x = 178,339.08 × 71,871.76
  4. Step 4: Simplify right side
    129,231.91x = 12,817,543,556.38
  5. Step 5: Solve for x
    x = 12,817,543,556.38/129,231.91
  6. Step 6: Final answer
    x = 99,182.50

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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.