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Finding the Fourth Proportional to 142.13, 196.07 and 114.53

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Solution

The fourth proportional to 142.13, 196.07 and 114.53 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.13 : 196.07 = 114.53 : x
  2. Step 2: Convert to fraction form
    142.13/196.07 = 114.53/x
  3. Step 3: Cross multiply
    142.13x = 196.07 × 114.53
  4. Step 4: Simplify right side
    142.13x = 22,454.34
  5. Step 5: Solve for x
    x = 22,454.34/142.13
  6. Step 6: Final answer
    x = 157.99

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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.