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Finding the Fourth Proportional to 125.64, 174.24 and 117.72

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Solution

The fourth proportional to 125.64, 174.24 and 117.72 is: 163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 174.24 = 117.72 : x
  2. Step 2: Convert to fraction form
    125.64/174.24 = 117.72/x
  3. Step 3: Cross multiply
    125.64x = 174.24 × 117.72
  4. Step 4: Simplify right side
    125.64x = 20,511.53
  5. Step 5: Solve for x
    x = 20,511.53/125.64
  6. Step 6: Final answer
    x = 163.26

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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.