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Finding the Fourth Proportional to 231,658.92, 319,662.34 and 129,689.96

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Solution

The fourth proportional to 231,658.92, 319,662.34 and 129,689.96 is: 178,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,658.92 : 319,662.34 = 129,689.96 : x
  2. Step 2: Convert to fraction form
    231,658.92/319,662.34 = 129,689.96/x
  3. Step 3: Cross multiply
    231,658.92x = 319,662.34 × 129,689.96
  4. Step 4: Simplify right side
    231,658.92x = 41,456,996,088.11
  5. Step 5: Solve for x
    x = 41,456,996,088.11/231,658.92
  6. Step 6: Final answer
    x = 178,957.05

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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.