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Finding the Fourth Proportional to 188,909.43, 283,474.87 and 135,543.90

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Solution

The fourth proportional to 188,909.43, 283,474.87 and 135,543.90 is: 203,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,909.43 : 283,474.87 = 135,543.90 : x
  2. Step 2: Convert to fraction form
    188,909.43/283,474.87 = 135,543.90/x
  3. Step 3: Cross multiply
    188,909.43x = 283,474.87 × 135,543.90
  4. Step 4: Simplify right side
    188,909.43x = 38,423,289,358.69
  5. Step 5: Solve for x
    x = 38,423,289,358.69/188,909.43
  6. Step 6: Final answer
    x = 203,395.29

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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.