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Finding the Fourth Proportional to 278,748.84, 418,128.84 and 89,245.38

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Solution

The fourth proportional to 278,748.84, 418,128.84 and 89,245.38 is: 133,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,748.84 : 418,128.84 = 89,245.38 : x
  2. Step 2: Convert to fraction form
    278,748.84/418,128.84 = 89,245.38/x
  3. Step 3: Cross multiply
    278,748.84x = 418,128.84 × 89,245.38
  4. Step 4: Simplify right side
    278,748.84x = 37,316,067,214.76
  5. Step 5: Solve for x
    x = 37,316,067,214.76/278,748.84
  6. Step 6: Final answer
    x = 133,869.86

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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.