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Finding the Fourth Proportional to 278,137.46, 417,068.15 and 88,573.11

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Solution

The fourth proportional to 278,137.46, 417,068.15 and 88,573.11 is: 132,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,137.46 : 417,068.15 = 88,573.11 : x
  2. Step 2: Convert to fraction form
    278,137.46/417,068.15 = 88,573.11/x
  3. Step 3: Cross multiply
    278,137.46x = 417,068.15 × 88,573.11
  4. Step 4: Simplify right side
    278,137.46x = 36,941,023,127.45
  5. Step 5: Solve for x
    x = 36,941,023,127.45/278,137.46
  6. Step 6: Final answer
    x = 132,815.71

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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.