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Finding the Fourth Proportional to 278,751.36, 418,191.84 and 91,764.48

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Solution

The fourth proportional to 278,751.36, 418,191.84 and 91,764.48 is: 137,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,751.36 : 418,191.84 = 91,764.48 : x
  2. Step 2: Convert to fraction form
    278,751.36/418,191.84 = 91,764.48/x
  3. Step 3: Cross multiply
    278,751.36x = 418,191.84 × 91,764.48
  4. Step 4: Simplify right side
    278,751.36x = 38,375,156,737.84
  5. Step 5: Solve for x
    x = 38,375,156,737.84/278,751.36
  6. Step 6: Final answer
    x = 137,668.05

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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.