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Finding the Fourth Proportional to 188,229.32, 282,380.10 and 75,920.88

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Solution

The fourth proportional to 188,229.32, 282,380.10 and 75,920.88 is: 113,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,229.32 : 282,380.10 = 75,920.88 : x
  2. Step 2: Convert to fraction form
    188,229.32/282,380.10 = 75,920.88/x
  3. Step 3: Cross multiply
    188,229.32x = 282,380.10 × 75,920.88
  4. Step 4: Simplify right side
    188,229.32x = 21,438,545,686.49
  5. Step 5: Solve for x
    x = 21,438,545,686.49/188,229.32
  6. Step 6: Final answer
    x = 113,895.89

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1.5x scale

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.