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Finding the Fourth Proportional to 125.32, 173.04 and 86.50

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Solution

The fourth proportional to 125.32, 173.04 and 86.50 is: 119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.32 : 173.04 = 86.50 : x
  2. Step 2: Convert to fraction form
    125.32/173.04 = 86.50/x
  3. Step 3: Cross multiply
    125.32x = 173.04 × 86.50
  4. Step 4: Simplify right side
    125.32x = 14,967.96
  5. Step 5: Solve for x
    x = 14,967.96/125.32
  6. Step 6: Final answer
    x = 119.44

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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.