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Finding the Fourth Proportional to 278,126, 417,202 and 81,134

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Solution

The fourth proportional to 278,126, 417,202 and 81,134 is: 121,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,126 : 417,202 = 81,134 : x
  2. Step 2: Convert to fraction form
    278,126/417,202 = 81,134/x
  3. Step 3: Cross multiply
    278,126x = 417,202 × 81,134
  4. Step 4: Simplify right side
    278,126x = 33,849,267,068
  5. Step 5: Solve for x
    x = 33,849,267,068/278,126
  6. Step 6: Final answer
    x = 121,704.79

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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.