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Finding the Fourth Proportional to 142.32, 196.48 and 117.84

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Solution

The fourth proportional to 142.32, 196.48 and 117.84 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 196.48 = 117.84 : x
  2. Step 2: Convert to fraction form
    142.32/196.48 = 117.84/x
  3. Step 3: Cross multiply
    142.32x = 196.48 × 117.84
  4. Step 4: Simplify right side
    142.32x = 23,153.20
  5. Step 5: Solve for x
    x = 23,153.20/142.32
  6. Step 6: Final answer
    x = 162.68

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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.