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Finding the Fourth Proportional to 89,506.38, 123,519.70 and 49,220.43

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Solution

The fourth proportional to 89,506.38, 123,519.70 and 49,220.43 is: 67,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,506.38 : 123,519.70 = 49,220.43 : x
  2. Step 2: Convert to fraction form
    89,506.38/123,519.70 = 49,220.43/x
  3. Step 3: Cross multiply
    89,506.38x = 123,519.70 × 49,220.43
  4. Step 4: Simplify right side
    89,506.38x = 6,079,692,345.80
  5. Step 5: Solve for x
    x = 6,079,692,345.80/89,506.38
  6. Step 6: Final answer
    x = 67,924.68

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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.