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Finding the Fourth Proportional to 120.47, 180.38 and 87.84

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Solution

The fourth proportional to 120.47, 180.38 and 87.84 is: 131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.47 : 180.38 = 87.84 : x
  2. Step 2: Convert to fraction form
    120.47/180.38 = 87.84/x
  3. Step 3: Cross multiply
    120.47x = 180.38 × 87.84
  4. Step 4: Simplify right side
    120.47x = 15,844.14
  5. Step 5: Solve for x
    x = 15,844.14/120.47
  6. Step 6: Final answer
    x = 131.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.