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Finding the Fourth Proportional to 89,661.72, 123,731.34 and 49,376.22

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Solution

The fourth proportional to 89,661.72, 123,731.34 and 49,376.22 is: 68,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,661.72 : 123,731.34 = 49,376.22 : x
  2. Step 2: Convert to fraction form
    89,661.72/123,731.34 = 49,376.22/x
  3. Step 3: Cross multiply
    89,661.72x = 123,731.34 × 49,376.22
  4. Step 4: Simplify right side
    89,661.72x = 6,109,385,864.73
  5. Step 5: Solve for x
    x = 6,109,385,864.73/89,661.72
  6. Step 6: Final answer
    x = 68,138.17

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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.