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Finding the Fourth Proportional to 142.64, 212.98 and 125.15

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Solution

The fourth proportional to 142.64, 212.98 and 125.15 is: 186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.64 : 212.98 = 125.15 : x
  2. Step 2: Convert to fraction form
    142.64/212.98 = 125.15/x
  3. Step 3: Cross multiply
    142.64x = 212.98 × 125.15
  4. Step 4: Simplify right side
    142.64x = 26,654.45
  5. Step 5: Solve for x
    x = 26,654.45/142.64
  6. Step 6: Final answer
    x = 186.87

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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.