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Finding the Fourth Proportional to 84,536.80, 126,713.67 and 54,975.85

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Solution

The fourth proportional to 84,536.80, 126,713.67 and 54,975.85 is: 82,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,536.80 : 126,713.67 = 54,975.85 : x
  2. Step 2: Convert to fraction form
    84,536.80/126,713.67 = 54,975.85/x
  3. Step 3: Cross multiply
    84,536.80x = 126,713.67 × 54,975.85
  4. Step 4: Simplify right side
    84,536.80x = 6,966,191,714.87
  5. Step 5: Solve for x
    x = 6,966,191,714.87/84,536.80
  6. Step 6: Final answer
    x = 82,404.25

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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.