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Finding the Fourth Proportional to 132,443.10, 182,766.44 and 72,013.78

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Solution

The fourth proportional to 132,443.10, 182,766.44 and 72,013.78 is: 99,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,443.10 : 182,766.44 = 72,013.78 : x
  2. Step 2: Convert to fraction form
    132,443.10/182,766.44 = 72,013.78/x
  3. Step 3: Cross multiply
    132,443.10x = 182,766.44 × 72,013.78
  4. Step 4: Simplify right side
    132,443.10x = 13,161,702,201.54
  5. Step 5: Solve for x
    x = 13,161,702,201.54/132,443.10
  6. Step 6: Final answer
    x = 99,376.28

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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.