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Finding the Fourth Proportional to 89,781.75, 123,893.01 and 49,495.86

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Solution

The fourth proportional to 89,781.75, 123,893.01 and 49,495.86 is: 68,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,781.75 : 123,893.01 = 49,495.86 : x
  2. Step 2: Convert to fraction form
    89,781.75/123,893.01 = 49,495.86/x
  3. Step 3: Cross multiply
    89,781.75x = 123,893.01 × 49,495.86
  4. Step 4: Simplify right side
    89,781.75x = 6,132,191,077.94
  5. Step 5: Solve for x
    x = 6,132,191,077.94/89,781.75
  6. Step 6: Final answer
    x = 68,301.09

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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.