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Finding the Fourth Proportional to 132.04, 182.13 and 87.78

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Solution

The fourth proportional to 132.04, 182.13 and 87.78 is: 121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.04 : 182.13 = 87.78 : x
  2. Step 2: Convert to fraction form
    132.04/182.13 = 87.78/x
  3. Step 3: Cross multiply
    132.04x = 182.13 × 87.78
  4. Step 4: Simplify right side
    132.04x = 15,987.37
  5. Step 5: Solve for x
    x = 15,987.37/132.04
  6. Step 6: Final answer
    x = 121.08

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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.