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Finding the Fourth Proportional to 142.11, 196.06 and 114.51

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Solution

The fourth proportional to 142.11, 196.06 and 114.51 is: 157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.11 : 196.06 = 114.51 : x
  2. Step 2: Convert to fraction form
    142.11/196.06 = 114.51/x
  3. Step 3: Cross multiply
    142.11x = 196.06 × 114.51
  4. Step 4: Simplify right side
    142.11x = 22,450.83
  5. Step 5: Solve for x
    x = 22,450.83/142.11
  6. Step 6: Final answer
    x = 157.98

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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.