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Finding the Fourth Proportional to 132,442, 182,769.96 and 72,826

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Solution

The fourth proportional to 132,442, 182,769.96 and 72,826 is: 100,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,442 : 182,769.96 = 72,826 : x
  2. Step 2: Convert to fraction form
    132,442/182,769.96 = 72,826/x
  3. Step 3: Cross multiply
    132,442x = 182,769.96 × 72,826
  4. Step 4: Simplify right side
    132,442x = 13,310,405,106.96
  5. Step 5: Solve for x
    x = 13,310,405,106.96/132,442
  6. Step 6: Final answer
    x = 100,499.88

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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.