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Finding the Fourth Proportional to 188,565.87, 283,034.71 and 138,505.44

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Solution

The fourth proportional to 188,565.87, 283,034.71 and 138,505.44 is: 207,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,565.87 : 283,034.71 = 138,505.44 : x
  2. Step 2: Convert to fraction form
    188,565.87/283,034.71 = 138,505.44/x
  3. Step 3: Cross multiply
    188,565.87x = 283,034.71 × 138,505.44
  4. Step 4: Simplify right side
    188,565.87x = 39,201,847,499.24
  5. Step 5: Solve for x
    x = 39,201,847,499.24/188,565.87
  6. Step 6: Final answer
    x = 207,894.71

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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.