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Finding the Fourth Proportional to 89,497.87, 123,507.90 and 49,211.89

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Solution

The fourth proportional to 89,497.87, 123,507.90 and 49,211.89 is: 67,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,497.87 : 123,507.90 = 49,211.89 : x
  2. Step 2: Convert to fraction form
    89,497.87/123,507.90 = 49,211.89/x
  3. Step 3: Cross multiply
    89,497.87x = 123,507.90 × 49,211.89
  4. Step 4: Simplify right side
    89,497.87x = 6,078,057,188.93
  5. Step 5: Solve for x
    x = 6,078,057,188.93/89,497.87
  6. Step 6: Final answer
    x = 67,912.87

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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.