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Finding the Fourth Proportional to 142.66, 196.88 and 77.17

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Solution

The fourth proportional to 142.66, 196.88 and 77.17 is: 106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.66 : 196.88 = 77.17 : x
  2. Step 2: Convert to fraction form
    142.66/196.88 = 77.17/x
  3. Step 3: Cross multiply
    142.66x = 196.88 × 77.17
  4. Step 4: Simplify right side
    142.66x = 15,192.94
  5. Step 5: Solve for x
    x = 15,192.94/142.66
  6. Step 6: Final answer
    x = 106.49

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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.