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Finding the Fourth Proportional to 84,452.50, 126,678.75 and 31,849.68

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Solution

The fourth proportional to 84,452.50, 126,678.75 and 31,849.68 is: 47,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,452.50 : 126,678.75 = 31,849.68 : x
  2. Step 2: Convert to fraction form
    84,452.50/126,678.75 = 31,849.68/x
  3. Step 3: Cross multiply
    84,452.50x = 126,678.75 × 31,849.68
  4. Step 4: Simplify right side
    84,452.50x = 4,034,677,650.30
  5. Step 5: Solve for x
    x = 4,034,677,650.30/84,452.50
  6. Step 6: Final answer
    x = 47,774.52

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Similar ratio
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1.5x scale

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.