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Finding the Fourth Proportional to 89,524, 123,543.12 and 49,780

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Solution

The fourth proportional to 89,524, 123,543.12 and 49,780 is: 68,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524 : 123,543.12 = 49,780 : x
  2. Step 2: Convert to fraction form
    89,524/123,543.12 = 49,780/x
  3. Step 3: Cross multiply
    89,524x = 123,543.12 × 49,780
  4. Step 4: Simplify right side
    89,524x = 6,149,976,513.60
  5. Step 5: Solve for x
    x = 6,149,976,513.60/89,524
  6. Step 6: Final answer
    x = 68,696.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.