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Finding the Fourth Proportional to 80.14, 120.16 and 39.50

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Solution

The fourth proportional to 80.14, 120.16 and 39.50 is: 59.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 120.16 = 39.50 : x
  2. Step 2: Convert to fraction form
    80.14/120.16 = 39.50/x
  3. Step 3: Cross multiply
    80.14x = 120.16 × 39.50
  4. Step 4: Simplify right side
    80.14x = 4,746.32
  5. Step 5: Solve for x
    x = 4,746.32/80.14
  6. Step 6: Final answer
    x = 59.23

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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.