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Finding the Fourth Proportional to 71,785.20, 107,677.80 and 53,122.80

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Solution

The fourth proportional to 71,785.20, 107,677.80 and 53,122.80 is: 79,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.20 : 107,677.80 = 53,122.80 : x
  2. Step 2: Convert to fraction form
    71,785.20/107,677.80 = 53,122.80/x
  3. Step 3: Cross multiply
    71,785.20x = 107,677.80 × 53,122.80
  4. Step 4: Simplify right side
    71,785.20x = 5,720,146,233.84
  5. Step 5: Solve for x
    x = 5,720,146,233.84/71,785.20
  6. Step 6: Final answer
    x = 79,684.20

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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.