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Finding the Fourth Proportional to 84,279.40, 126,564.90 and 54,827.80

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Solution

The fourth proportional to 84,279.40, 126,564.90 and 54,827.80 is: 82,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,279.40 : 126,564.90 = 54,827.80 : x
  2. Step 2: Convert to fraction form
    84,279.40/126,564.90 = 54,827.80/x
  3. Step 3: Cross multiply
    84,279.40x = 126,564.90 × 54,827.80
  4. Step 4: Simplify right side
    84,279.40x = 6,939,275,024.22
  5. Step 5: Solve for x
    x = 6,939,275,024.22/84,279.40
  6. Step 6: Final answer
    x = 82,336.55

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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.