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Finding the Fourth Proportional to 89,765.62, 123,876.88 and 49,478.51

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Solution

The fourth proportional to 89,765.62, 123,876.88 and 49,478.51 is: 68,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765.62 : 123,876.88 = 49,478.51 : x
  2. Step 2: Convert to fraction form
    89,765.62/123,876.88 = 49,478.51/x
  3. Step 3: Cross multiply
    89,765.62x = 123,876.88 × 49,478.51
  4. Step 4: Simplify right side
    89,765.62x = 6,129,243,631.84
  5. Step 5: Solve for x
    x = 6,129,243,631.84/89,765.62
  6. Step 6: Final answer
    x = 68,280.53

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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.