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Finding the Fourth Proportional to 84,149.79, 126,231.41 and 27,987.87

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Solution

The fourth proportional to 84,149.79, 126,231.41 and 27,987.87 is: 41,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,149.79 : 126,231.41 = 27,987.87 : x
  2. Step 2: Convert to fraction form
    84,149.79/126,231.41 = 27,987.87/x
  3. Step 3: Cross multiply
    84,149.79x = 126,231.41 × 27,987.87
  4. Step 4: Simplify right side
    84,149.79x = 3,532,948,153.06
  5. Step 5: Solve for x
    x = 3,532,948,153.06/84,149.79
  6. Step 6: Final answer
    x = 41,984.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.