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Finding the Fourth Proportional to 84,310.56, 126,462.80 and 21,131.16

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Solution

The fourth proportional to 84,310.56, 126,462.80 and 21,131.16 is: 31,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,310.56 : 126,462.80 = 21,131.16 : x
  2. Step 2: Convert to fraction form
    84,310.56/126,462.80 = 21,131.16/x
  3. Step 3: Cross multiply
    84,310.56x = 126,462.80 × 21,131.16
  4. Step 4: Simplify right side
    84,310.56x = 2,672,305,555.19
  5. Step 5: Solve for x
    x = 2,672,305,555.19/84,310.56
  6. Step 6: Final answer
    x = 31,695.98

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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.