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Finding the Fourth Proportional to 89,369.60, 123,332.09 and 49,086

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Solution

The fourth proportional to 89,369.60, 123,332.09 and 49,086 is: 67,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369.60 : 123,332.09 = 49,086 : x
  2. Step 2: Convert to fraction form
    89,369.60/123,332.09 = 49,086/x
  3. Step 3: Cross multiply
    89,369.60x = 123,332.09 × 49,086
  4. Step 4: Simplify right side
    89,369.60x = 6,053,878,724.31
  5. Step 5: Solve for x
    x = 6,053,878,724.31/89,369.60
  6. Step 6: Final answer
    x = 67,739.80

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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.