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Finding the Fourth Proportional to 98,151.85, 135,456.30 and 54,549.65

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Solution

The fourth proportional to 98,151.85, 135,456.30 and 54,549.65 is: 75,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,151.85 : 135,456.30 = 54,549.65 : x
  2. Step 2: Convert to fraction form
    98,151.85/135,456.30 = 54,549.65/x
  3. Step 3: Cross multiply
    98,151.85x = 135,456.30 × 54,549.65
  4. Step 4: Simplify right side
    98,151.85x = 7,389,094,093.94
  5. Step 5: Solve for x
    x = 7,389,094,093.94/98,151.85
  6. Step 6: Final answer
    x = 75,282.27

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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.