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Finding the Fourth Proportional to 84,262.68, 126,379.44 and 31,662.90

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Solution

The fourth proportional to 84,262.68, 126,379.44 and 31,662.90 is: 47,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262.68 : 126,379.44 = 31,662.90 : x
  2. Step 2: Convert to fraction form
    84,262.68/126,379.44 = 31,662.90/x
  3. Step 3: Cross multiply
    84,262.68x = 126,379.44 × 31,662.90
  4. Step 4: Simplify right side
    84,262.68x = 4,001,539,570.78
  5. Step 5: Solve for x
    x = 4,001,539,570.78/84,262.68
  6. Step 6: Final answer
    x = 47,488.87

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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.