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Finding the Fourth Proportional to 181,287.10, 271,930.65 and 154,459.90

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Solution

The fourth proportional to 181,287.10, 271,930.65 and 154,459.90 is: 231,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,287.10 : 271,930.65 = 154,459.90 : x
  2. Step 2: Convert to fraction form
    181,287.10/271,930.65 = 154,459.90/x
  3. Step 3: Cross multiply
    181,287.10x = 271,930.65 × 154,459.90
  4. Step 4: Simplify right side
    181,287.10x = 42,002,381,005.94
  5. Step 5: Solve for x
    x = 42,002,381,005.94/181,287.10
  6. Step 6: Final answer
    x = 231,689.85

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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.