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Finding the Fourth Proportional to 142.18, 196.08 and 92.99

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Solution

The fourth proportional to 142.18, 196.08 and 92.99 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.18 : 196.08 = 92.99 : x
  2. Step 2: Convert to fraction form
    142.18/196.08 = 92.99/x
  3. Step 3: Cross multiply
    142.18x = 196.08 × 92.99
  4. Step 4: Simplify right side
    142.18x = 18,233.48
  5. Step 5: Solve for x
    x = 18,233.48/142.18
  6. Step 6: Final answer
    x = 128.24

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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.