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Finding the Fourth Proportional to 71,723.60, 107,585.40 and 51,909.20

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Solution

The fourth proportional to 71,723.60, 107,585.40 and 51,909.20 is: 77,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.60 : 107,585.40 = 51,909.20 : x
  2. Step 2: Convert to fraction form
    71,723.60/107,585.40 = 51,909.20/x
  3. Step 3: Cross multiply
    71,723.60x = 107,585.40 × 51,909.20
  4. Step 4: Simplify right side
    71,723.60x = 5,584,672,045.68
  5. Step 5: Solve for x
    x = 5,584,672,045.68/71,723.60
  6. Step 6: Final answer
    x = 77,863.80

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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.