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Finding the Fourth Proportional to 132,431.94, 182,780.28 and 78,747.60

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Solution

The fourth proportional to 132,431.94, 182,780.28 and 78,747.60 is: 108,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,431.94 : 182,780.28 = 78,747.60 : x
  2. Step 2: Convert to fraction form
    132,431.94/182,780.28 = 78,747.60/x
  3. Step 3: Cross multiply
    132,431.94x = 182,780.28 × 78,747.60
  4. Step 4: Simplify right side
    132,431.94x = 14,393,508,377.33
  5. Step 5: Solve for x
    x = 14,393,508,377.33/132,431.94
  6. Step 6: Final answer
    x = 108,686.08

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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.