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Finding the Fourth Proportional to 89,864.76, 124,013.78 and 49,578.50

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Solution

The fourth proportional to 89,864.76, 124,013.78 and 49,578.50 is: 68,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,864.76 : 124,013.78 = 49,578.50 : x
  2. Step 2: Convert to fraction form
    89,864.76/124,013.78 = 49,578.50/x
  3. Step 3: Cross multiply
    89,864.76x = 124,013.78 × 49,578.50
  4. Step 4: Simplify right side
    89,864.76x = 6,148,417,191.73
  5. Step 5: Solve for x
    x = 6,148,417,191.73/89,864.76
  6. Step 6: Final answer
    x = 68,418.56

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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.