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Finding the Fourth Proportional to 142.45, 196.80 and 98.91

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Solution

The fourth proportional to 142.45, 196.80 and 98.91 is: 136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.45 : 196.80 = 98.91 : x
  2. Step 2: Convert to fraction form
    142.45/196.80 = 98.91/x
  3. Step 3: Cross multiply
    142.45x = 196.80 × 98.91
  4. Step 4: Simplify right side
    142.45x = 19,465.12
  5. Step 5: Solve for x
    x = 19,465.12/142.45
  6. Step 6: Final answer
    x = 136.65

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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.