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Finding the Fourth Proportional to 84,115.64, 126,136.56 and 31,488.22

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Solution

The fourth proportional to 84,115.64, 126,136.56 and 31,488.22 is: 47,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,115.64 : 126,136.56 = 31,488.22 : x
  2. Step 2: Convert to fraction form
    84,115.64/126,136.56 = 31,488.22/x
  3. Step 3: Cross multiply
    84,115.64x = 126,136.56 × 31,488.22
  4. Step 4: Simplify right side
    84,115.64x = 3,971,815,751.32
  5. Step 5: Solve for x
    x = 3,971,815,751.32/84,115.64
  6. Step 6: Final answer
    x = 47,218.52

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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.