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Finding the Fourth Proportional to 142.12, 196.05 and 89.65

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Solution

The fourth proportional to 142.12, 196.05 and 89.65 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 196.05 = 89.65 : x
  2. Step 2: Convert to fraction form
    142.12/196.05 = 89.65/x
  3. Step 3: Cross multiply
    142.12x = 196.05 × 89.65
  4. Step 4: Simplify right side
    142.12x = 17,575.88
  5. Step 5: Solve for x
    x = 17,575.88/142.12
  6. Step 6: Final answer
    x = 123.67

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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.