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Finding the Fourth Proportional to 142.70, 196.80 and 90.92

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Solution

The fourth proportional to 142.70, 196.80 and 90.92 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 196.80 = 90.92 : x
  2. Step 2: Convert to fraction form
    142.70/196.80 = 90.92/x
  3. Step 3: Cross multiply
    142.70x = 196.80 × 90.92
  4. Step 4: Simplify right side
    142.70x = 17,893.06
  5. Step 5: Solve for x
    x = 17,893.06/142.70
  6. Step 6: Final answer
    x = 125.39

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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.