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Finding the Fourth Proportional to 121,408.80, 182,080.80 and 42,514.80

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Solution

The fourth proportional to 121,408.80, 182,080.80 and 42,514.80 is: 63,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408.80 : 182,080.80 = 42,514.80 : x
  2. Step 2: Convert to fraction form
    121,408.80/182,080.80 = 42,514.80/x
  3. Step 3: Cross multiply
    121,408.80x = 182,080.80 × 42,514.80
  4. Step 4: Simplify right side
    121,408.80x = 7,741,128,795.84
  5. Step 5: Solve for x
    x = 7,741,128,795.84/121,408.80
  6. Step 6: Final answer
    x = 63,760.85

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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.