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Finding the Fourth Proportional to 132,277, 182,542.26 and 72,661

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Solution

The fourth proportional to 132,277, 182,542.26 and 72,661 is: 100,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,277 : 182,542.26 = 72,661 : x
  2. Step 2: Convert to fraction form
    132,277/182,542.26 = 72,661/x
  3. Step 3: Cross multiply
    132,277x = 182,542.26 × 72,661
  4. Step 4: Simplify right side
    132,277x = 13,263,703,153.86
  5. Step 5: Solve for x
    x = 13,263,703,153.86/132,277
  6. Step 6: Final answer
    x = 100,272.18

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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.