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Finding the Fourth Proportional to 80.65, 121.07 and 53.14

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Solution

The fourth proportional to 80.65, 121.07 and 53.14 is: 79.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.65 : 121.07 = 53.14 : x
  2. Step 2: Convert to fraction form
    80.65/121.07 = 53.14/x
  3. Step 3: Cross multiply
    80.65x = 121.07 × 53.14
  4. Step 4: Simplify right side
    80.65x = 6,433.66
  5. Step 5: Solve for x
    x = 6,433.66/80.65
  6. Step 6: Final answer
    x = 79.77

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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.