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Finding the Fourth Proportional to 278,120.87, 417,160.33 and 88,573.58

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Solution

The fourth proportional to 278,120.87, 417,160.33 and 88,573.58 is: 132,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,120.87 : 417,160.33 = 88,573.58 : x
  2. Step 2: Convert to fraction form
    278,120.87/417,160.33 = 88,573.58/x
  3. Step 3: Cross multiply
    278,120.87x = 417,160.33 × 88,573.58
  4. Step 4: Simplify right side
    278,120.87x = 36,949,381,554.85
  5. Step 5: Solve for x
    x = 36,949,381,554.85/278,120.87
  6. Step 6: Final answer
    x = 132,853.68

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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.