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Finding the Fourth Proportional to 278,689.15, 418,144.49 and 89,178.71

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Solution

The fourth proportional to 278,689.15, 418,144.49 and 89,178.71 is: 133,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,689.15 : 418,144.49 = 89,178.71 : x
  2. Step 2: Convert to fraction form
    278,689.15/418,144.49 = 89,178.71/x
  3. Step 3: Cross multiply
    278,689.15x = 418,144.49 × 89,178.71
  4. Step 4: Simplify right side
    278,689.15x = 37,289,587,480.12
  5. Step 5: Solve for x
    x = 37,289,587,480.12/278,689.15
  6. Step 6: Final answer
    x = 133,803.51

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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.