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Finding the Fourth Proportional to 89,699.30, 123,785.88 and 49,414.49

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Solution

The fourth proportional to 89,699.30, 123,785.88 and 49,414.49 is: 68,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,699.30 : 123,785.88 = 49,414.49 : x
  2. Step 2: Convert to fraction form
    89,699.30/123,785.88 = 49,414.49/x
  3. Step 3: Cross multiply
    89,699.30x = 123,785.88 × 49,414.49
  4. Step 4: Simplify right side
    89,699.30x = 6,116,816,129.40
  5. Step 5: Solve for x
    x = 6,116,816,129.40/89,699.30
  6. Step 6: Final answer
    x = 68,192.46

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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.