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Finding the Fourth Proportional to 89,435, 123,420.78 and 49,691

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Solution

The fourth proportional to 89,435, 123,420.78 and 49,691 is: 68,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,435 : 123,420.78 = 49,691 : x
  2. Step 2: Convert to fraction form
    89,435/123,420.78 = 49,691/x
  3. Step 3: Cross multiply
    89,435x = 123,420.78 × 49,691
  4. Step 4: Simplify right side
    89,435x = 6,132,901,978.98
  5. Step 5: Solve for x
    x = 6,132,901,978.98/89,435
  6. Step 6: Final answer
    x = 68,573.85

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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.