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Finding the Fourth Proportional to 274,691.64, 412,101.72 and 85,142.08

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Solution

The fourth proportional to 274,691.64, 412,101.72 and 85,142.08 is: 127,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,691.64 : 412,101.72 = 85,142.08 : x
  2. Step 2: Convert to fraction form
    274,691.64/412,101.72 = 85,142.08/x
  3. Step 3: Cross multiply
    274,691.64x = 412,101.72 × 85,142.08
  4. Step 4: Simplify right side
    274,691.64x = 35,087,197,612.38
  5. Step 5: Solve for x
    x = 35,087,197,612.38/274,691.64
  6. Step 6: Final answer
    x = 127,733.04

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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.