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Finding the Fourth Proportional to 84,129.72, 126,217.26 and 27,978.90

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Solution

The fourth proportional to 84,129.72, 126,217.26 and 27,978.90 is: 41,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.72 : 126,217.26 = 27,978.90 : x
  2. Step 2: Convert to fraction form
    84,129.72/126,217.26 = 27,978.90/x
  3. Step 3: Cross multiply
    84,129.72x = 126,217.26 × 27,978.90
  4. Step 4: Simplify right side
    84,129.72x = 3,531,420,095.81
  5. Step 5: Solve for x
    x = 3,531,420,095.81/84,129.72
  6. Step 6: Final answer
    x = 41,975.89

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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.