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Finding the Fourth Proportional to 71,626.47, 107,434.38 and 28,934.86

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Solution

The fourth proportional to 71,626.47, 107,434.38 and 28,934.86 is: 43,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,626.47 : 107,434.38 = 28,934.86 : x
  2. Step 2: Convert to fraction form
    71,626.47/107,434.38 = 28,934.86/x
  3. Step 3: Cross multiply
    71,626.47x = 107,434.38 × 28,934.86
  4. Step 4: Simplify right side
    71,626.47x = 3,108,598,744.49
  5. Step 5: Solve for x
    x = 3,108,598,744.49/71,626.47
  6. Step 6: Final answer
    x = 43,400.14

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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.