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Finding the Fourth Proportional to 100,691.31, 151,043.64 and 29,620.32

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Solution

The fourth proportional to 100,691.31, 151,043.64 and 29,620.32 is: 44,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,691.31 : 151,043.64 = 29,620.32 : x
  2. Step 2: Convert to fraction form
    100,691.31/151,043.64 = 29,620.32/x
  3. Step 3: Cross multiply
    100,691.31x = 151,043.64 × 29,620.32
  4. Step 4: Simplify right side
    100,691.31x = 4,473,960,950.76
  5. Step 5: Solve for x
    x = 4,473,960,950.76/100,691.31
  6. Step 6: Final answer
    x = 44,432.44

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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.