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Finding the Fourth Proportional to 89,698.69, 123,789.87 and 49,412.43

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Solution

The fourth proportional to 89,698.69, 123,789.87 and 49,412.43 is: 68,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,698.69 : 123,789.87 = 49,412.43 : x
  2. Step 2: Convert to fraction form
    89,698.69/123,789.87 = 49,412.43/x
  3. Step 3: Cross multiply
    89,698.69x = 123,789.87 × 49,412.43
  4. Step 4: Simplify right side
    89,698.69x = 6,116,758,286.08
  5. Step 5: Solve for x
    x = 6,116,758,286.08/89,698.69
  6. Step 6: Final answer
    x = 68,192.28

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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.