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Finding the Fourth Proportional to 89,655.74, 123,724.92 and 49,369.40

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Solution

The fourth proportional to 89,655.74, 123,724.92 and 49,369.40 is: 68,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,655.74 : 123,724.92 = 49,369.40 : x
  2. Step 2: Convert to fraction form
    89,655.74/123,724.92 = 49,369.40/x
  3. Step 3: Cross multiply
    89,655.74x = 123,724.92 × 49,369.40
  4. Step 4: Simplify right side
    89,655.74x = 6,108,225,548.89
  5. Step 5: Solve for x
    x = 6,108,225,548.89/89,655.74
  6. Step 6: Final answer
    x = 68,129.78

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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.