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Finding the Fourth Proportional to 142.35, 196.49 and 89.90

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Solution

The fourth proportional to 142.35, 196.49 and 89.90 is: 124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.35 : 196.49 = 89.90 : x
  2. Step 2: Convert to fraction form
    142.35/196.49 = 89.90/x
  3. Step 3: Cross multiply
    142.35x = 196.49 × 89.90
  4. Step 4: Simplify right side
    142.35x = 17,664.45
  5. Step 5: Solve for x
    x = 17,664.45/142.35
  6. Step 6: Final answer
    x = 124.09

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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.