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Finding the Fourth Proportional to 142.60, 196.60 and 93.46

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Solution

The fourth proportional to 142.60, 196.60 and 93.46 is: 128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.60 : 196.60 = 93.46 : x
  2. Step 2: Convert to fraction form
    142.60/196.60 = 93.46/x
  3. Step 3: Cross multiply
    142.60x = 196.60 × 93.46
  4. Step 4: Simplify right side
    142.60x = 18,372.79
  5. Step 5: Solve for x
    x = 18,372.79/142.60
  6. Step 6: Final answer
    x = 128.85

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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.