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Finding the Fourth Proportional to 132,616.80, 182,970 and 81,576

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Solution

The fourth proportional to 132,616.80, 182,970 and 81,576 is: 112,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,616.80 : 182,970 = 81,576 : x
  2. Step 2: Convert to fraction form
    132,616.80/182,970 = 81,576/x
  3. Step 3: Cross multiply
    132,616.80x = 182,970 × 81,576
  4. Step 4: Simplify right side
    132,616.80x = 14,925,960,720
  5. Step 5: Solve for x
    x = 14,925,960,720/132,616.80
  6. Step 6: Final answer
    x = 112,549.55

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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.