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Finding the Fourth Proportional to 142.24, 214.14 and 125.22

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Solution

The fourth proportional to 142.24, 214.14 and 125.22 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 214.14 = 125.22 : x
  2. Step 2: Convert to fraction form
    142.24/214.14 = 125.22/x
  3. Step 3: Cross multiply
    142.24x = 214.14 × 125.22
  4. Step 4: Simplify right side
    142.24x = 26,814.61
  5. Step 5: Solve for x
    x = 26,814.61/142.24
  6. Step 6: Final answer
    x = 188.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.