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Finding the Fourth Proportional to 80.78, 121.12 and 32.01

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Solution

The fourth proportional to 80.78, 121.12 and 32.01 is: 48.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.78 : 121.12 = 32.01 : x
  2. Step 2: Convert to fraction form
    80.78/121.12 = 32.01/x
  3. Step 3: Cross multiply
    80.78x = 121.12 × 32.01
  4. Step 4: Simplify right side
    80.78x = 3,877.05
  5. Step 5: Solve for x
    x = 3,877.05/80.78
  6. Step 6: Final answer
    x = 48.00

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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.