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Finding the Fourth Proportional to 181,135.28, 271,702.92 and 56,486

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Solution

The fourth proportional to 181,135.28, 271,702.92 and 56,486 is: 84,729

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,135.28 : 271,702.92 = 56,486 : x
  2. Step 2: Convert to fraction form
    181,135.28/271,702.92 = 56,486/x
  3. Step 3: Cross multiply
    181,135.28x = 271,702.92 × 56,486
  4. Step 4: Simplify right side
    181,135.28x = 15,347,411,139.12
  5. Step 5: Solve for x
    x = 15,347,411,139.12/181,135.28
  6. Step 6: Final answer
    x = 84,729

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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.