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Finding the Fourth Proportional to 84,409.86, 126,614.79 and 34,489.91

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Solution

The fourth proportional to 84,409.86, 126,614.79 and 34,489.91 is: 51,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,409.86 : 126,614.79 = 34,489.91 : x
  2. Step 2: Convert to fraction form
    84,409.86/126,614.79 = 34,489.91/x
  3. Step 3: Cross multiply
    84,409.86x = 126,614.79 × 34,489.91
  4. Step 4: Simplify right side
    84,409.86x = 4,366,933,157.64
  5. Step 5: Solve for x
    x = 4,366,933,157.64/84,409.86
  6. Step 6: Final answer
    x = 51,734.87

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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.