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Finding the Fourth Proportional to 89,809.70, 123,942.84 and 49,523.30

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Solution

The fourth proportional to 89,809.70, 123,942.84 and 49,523.30 is: 68,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,809.70 : 123,942.84 = 49,523.30 : x
  2. Step 2: Convert to fraction form
    89,809.70/123,942.84 = 49,523.30/x
  3. Step 3: Cross multiply
    89,809.70x = 123,942.84 × 49,523.30
  4. Step 4: Simplify right side
    89,809.70x = 6,138,058,448.17
  5. Step 5: Solve for x
    x = 6,138,058,448.17/89,809.70
  6. Step 6: Final answer
    x = 68,345.16

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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.