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Finding the Fourth Proportional to 125.41, 188.22 and 52.32

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Solution

The fourth proportional to 125.41, 188.22 and 52.32 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.41 : 188.22 = 52.32 : x
  2. Step 2: Convert to fraction form
    125.41/188.22 = 52.32/x
  3. Step 3: Cross multiply
    125.41x = 188.22 × 52.32
  4. Step 4: Simplify right side
    125.41x = 9,847.67
  5. Step 5: Solve for x
    x = 9,847.67/125.41
  6. Step 6: Final answer
    x = 78.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.