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Finding the Fourth Proportional to 89,103, 122,962.14 and 49,359

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Solution

The fourth proportional to 89,103, 122,962.14 and 49,359 is: 68,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,103 : 122,962.14 = 49,359 : x
  2. Step 2: Convert to fraction form
    89,103/122,962.14 = 49,359/x
  3. Step 3: Cross multiply
    89,103x = 122,962.14 × 49,359
  4. Step 4: Simplify right side
    89,103x = 6,069,288,268.26
  5. Step 5: Solve for x
    x = 6,069,288,268.26/89,103
  6. Step 6: Final answer
    x = 68,115.42

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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.