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Finding the Fourth Proportional to 120,142, 165,789.48 and 66,423.88

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Solution

The fourth proportional to 120,142, 165,789.48 and 66,423.88 is: 91,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142 : 165,789.48 = 66,423.88 : x
  2. Step 2: Convert to fraction form
    120,142/165,789.48 = 66,423.88/x
  3. Step 3: Cross multiply
    120,142x = 165,789.48 × 66,423.88
  4. Step 4: Simplify right side
    120,142x = 11,012,380,524.78
  5. Step 5: Solve for x
    x = 11,012,380,524.78/120,142
  6. Step 6: Final answer
    x = 91,661.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.