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Finding the Fourth Proportional to 125.61, 174.05 and 122.78

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Solution

The fourth proportional to 125.61, 174.05 and 122.78 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.61 : 174.05 = 122.78 : x
  2. Step 2: Convert to fraction form
    125.61/174.05 = 122.78/x
  3. Step 3: Cross multiply
    125.61x = 174.05 × 122.78
  4. Step 4: Simplify right side
    125.61x = 21,368.37
  5. Step 5: Solve for x
    x = 21,368.37/125.61
  6. Step 6: Final answer
    x = 170.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.