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Finding the Fourth Proportional to 84,422.88, 126,559.80 and 31,869.27

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Solution

The fourth proportional to 84,422.88, 126,559.80 and 31,869.27 is: 47,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422.88 : 126,559.80 = 31,869.27 : x
  2. Step 2: Convert to fraction form
    84,422.88/126,559.80 = 31,869.27/x
  3. Step 3: Cross multiply
    84,422.88x = 126,559.80 × 31,869.27
  4. Step 4: Simplify right side
    84,422.88x = 4,033,368,437.35
  5. Step 5: Solve for x
    x = 4,033,368,437.35/84,422.88
  6. Step 6: Final answer
    x = 47,775.77

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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.