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Finding the Fourth Proportional to 142.61, 212.76 and 129.62

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Solution

The fourth proportional to 142.61, 212.76 and 129.62 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.61 : 212.76 = 129.62 : x
  2. Step 2: Convert to fraction form
    142.61/212.76 = 129.62/x
  3. Step 3: Cross multiply
    142.61x = 212.76 × 129.62
  4. Step 4: Simplify right side
    142.61x = 27,576.89
  5. Step 5: Solve for x
    x = 27,576.89/142.61
  6. Step 6: Final answer
    x = 193.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.