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Finding the Fourth Proportional to 132,122.42, 182,480.37 and 87,002.12

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Solution

The fourth proportional to 132,122.42, 182,480.37 and 87,002.12 is: 120,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,122.42 : 182,480.37 = 87,002.12 : x
  2. Step 2: Convert to fraction form
    132,122.42/182,480.37 = 87,002.12/x
  3. Step 3: Cross multiply
    132,122.42x = 182,480.37 × 87,002.12
  4. Step 4: Simplify right side
    132,122.42x = 15,876,179,048.38
  5. Step 5: Solve for x
    x = 15,876,179,048.38/132,122.42
  6. Step 6: Final answer
    x = 120,162.64

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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.