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Finding the Fourth Proportional to 132,265.31, 182,520.95 and 78,548.94

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Solution

The fourth proportional to 132,265.31, 182,520.95 and 78,548.94 is: 108,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,265.31 : 182,520.95 = 78,548.94 : x
  2. Step 2: Convert to fraction form
    132,265.31/182,520.95 = 78,548.94/x
  3. Step 3: Cross multiply
    132,265.31x = 182,520.95 × 78,548.94
  4. Step 4: Simplify right side
    132,265.31x = 14,336,826,757.55
  5. Step 5: Solve for x
    x = 14,336,826,757.55/132,265.31
  6. Step 6: Final answer
    x = 108,394.46

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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.