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Finding the Fourth Proportional to 142.64, 196.78 and 89.46

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Solution

The fourth proportional to 142.64, 196.78 and 89.46 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.64 : 196.78 = 89.46 : x
  2. Step 2: Convert to fraction form
    142.64/196.78 = 89.46/x
  3. Step 3: Cross multiply
    142.64x = 196.78 × 89.46
  4. Step 4: Simplify right side
    142.64x = 17,604.44
  5. Step 5: Solve for x
    x = 17,604.44/142.64
  6. Step 6: Final answer
    x = 123.41

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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.