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Finding the Fourth Proportional to 255,874.14, 383,854.95 and 87,385.23

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Solution

The fourth proportional to 255,874.14, 383,854.95 and 87,385.23 is: 131,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,874.14 : 383,854.95 = 87,385.23 : x
  2. Step 2: Convert to fraction form
    255,874.14/383,854.95 = 87,385.23/x
  3. Step 3: Cross multiply
    255,874.14x = 383,854.95 × 87,385.23
  4. Step 4: Simplify right side
    255,874.14x = 33,543,253,092.39
  5. Step 5: Solve for x
    x = 33,543,253,092.39/255,874.14
  6. Step 6: Final answer
    x = 131,092.78

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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.