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Finding the Fourth Proportional to 84,207.87, 126,311.33 and 21,027.87

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Solution

The fourth proportional to 84,207.87, 126,311.33 and 21,027.87 is: 31,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,207.87 : 126,311.33 = 21,027.87 : x
  2. Step 2: Convert to fraction form
    84,207.87/126,311.33 = 21,027.87/x
  3. Step 3: Cross multiply
    84,207.87x = 126,311.33 × 21,027.87
  4. Step 4: Simplify right side
    84,207.87x = 2,656,058,121.63
  5. Step 5: Solve for x
    x = 2,656,058,121.63/84,207.87
  6. Step 6: Final answer
    x = 31,541.69

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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.