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Finding the Fourth Proportional to 142.40, 196.47 and 87.14

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Solution

The fourth proportional to 142.40, 196.47 and 87.14 is: 120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.40 : 196.47 = 87.14 : x
  2. Step 2: Convert to fraction form
    142.40/196.47 = 87.14/x
  3. Step 3: Cross multiply
    142.40x = 196.47 × 87.14
  4. Step 4: Simplify right side
    142.40x = 17,119.74
  5. Step 5: Solve for x
    x = 17,119.74/142.40
  6. Step 6: Final answer
    x = 120.22

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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.