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Finding the Fourth Proportional to 125,711.20, 188,566.80 and 83,720.80

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Solution

The fourth proportional to 125,711.20, 188,566.80 and 83,720.80 is: 125,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,711.20 : 188,566.80 = 83,720.80 : x
  2. Step 2: Convert to fraction form
    125,711.20/188,566.80 = 83,720.80/x
  3. Step 3: Cross multiply
    125,711.20x = 188,566.80 × 83,720.80
  4. Step 4: Simplify right side
    125,711.20x = 15,786,963,349.44
  5. Step 5: Solve for x
    x = 15,786,963,349.44/125,711.20
  6. Step 6: Final answer
    x = 125,581.20

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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.