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Finding the Fourth Proportional to 125.14, 172.71 and 85.85

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Solution

The fourth proportional to 125.14, 172.71 and 85.85 is: 118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.14 : 172.71 = 85.85 : x
  2. Step 2: Convert to fraction form
    125.14/172.71 = 85.85/x
  3. Step 3: Cross multiply
    125.14x = 172.71 × 85.85
  4. Step 4: Simplify right side
    125.14x = 14,827.15
  5. Step 5: Solve for x
    x = 14,827.15/125.14
  6. Step 6: Final answer
    x = 118.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.