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Finding the Fourth Proportional to 181,280.64, 271,869.12 and 92,478.72

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Solution

The fourth proportional to 181,280.64, 271,869.12 and 92,478.72 is: 138,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,280.64 : 271,869.12 = 92,478.72 : x
  2. Step 2: Convert to fraction form
    181,280.64/271,869.12 = 92,478.72/x
  3. Step 3: Cross multiply
    181,280.64x = 271,869.12 × 92,478.72
  4. Step 4: Simplify right side
    181,280.64x = 25,142,108,225.13
  5. Step 5: Solve for x
    x = 25,142,108,225.13/181,280.64
  6. Step 6: Final answer
    x = 138,691.63

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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.