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Finding the Fourth Proportional to 84,714.80, 126,926.40 and 55,117.40

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Solution

The fourth proportional to 84,714.80, 126,926.40 and 55,117.40 is: 82,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714.80 : 126,926.40 = 55,117.40 : x
  2. Step 2: Convert to fraction form
    84,714.80/126,926.40 = 55,117.40/x
  3. Step 3: Cross multiply
    84,714.80x = 126,926.40 × 55,117.40
  4. Step 4: Simplify right side
    84,714.80x = 6,995,853,159.36
  5. Step 5: Solve for x
    x = 6,995,853,159.36/84,714.80
  6. Step 6: Final answer
    x = 82,581.24

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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.