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Finding the Fourth Proportional to 84,143.64, 126,182.64 and 31,524.42

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Solution

The fourth proportional to 84,143.64, 126,182.64 and 31,524.42 is: 47,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.64 : 126,182.64 = 31,524.42 : x
  2. Step 2: Convert to fraction form
    84,143.64/126,182.64 = 31,524.42/x
  3. Step 3: Cross multiply
    84,143.64x = 126,182.64 × 31,524.42
  4. Step 4: Simplify right side
    84,143.64x = 3,977,834,540.07
  5. Step 5: Solve for x
    x = 3,977,834,540.07/84,143.64
  6. Step 6: Final answer
    x = 47,274.33

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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.