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Finding the Fourth Proportional to 77.03, 106.19 and 60.62

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Solution

The fourth proportional to 77.03, 106.19 and 60.62 is: 83.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 106.19 = 60.62 : x
  2. Step 2: Convert to fraction form
    77.03/106.19 = 60.62/x
  3. Step 3: Cross multiply
    77.03x = 106.19 × 60.62
  4. Step 4: Simplify right side
    77.03x = 6,436.40
  5. Step 5: Solve for x
    x = 6,436.40/77.03
  6. Step 6: Final answer
    x = 83.56

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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.