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Finding the Fourth Proportional to 100,701.90, 151,044.12 and 47,381.22

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Solution

The fourth proportional to 100,701.90, 151,044.12 and 47,381.22 is: 71,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.90 : 151,044.12 = 47,381.22 : x
  2. Step 2: Convert to fraction form
    100,701.90/151,044.12 = 47,381.22/x
  3. Step 3: Cross multiply
    100,701.90x = 151,044.12 × 47,381.22
  4. Step 4: Simplify right side
    100,701.90x = 7,156,654,679.43
  5. Step 5: Solve for x
    x = 7,156,654,679.43/100,701.90
  6. Step 6: Final answer
    x = 71,067.72

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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.