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Finding the Fourth Proportional to 109.06, 163.70 and 87.41

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Solution

The fourth proportional to 109.06, 163.70 and 87.41 is: 131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.06 : 163.70 = 87.41 : x
  2. Step 2: Convert to fraction form
    109.06/163.70 = 87.41/x
  3. Step 3: Cross multiply
    109.06x = 163.70 × 87.41
  4. Step 4: Simplify right side
    109.06x = 14,309.02
  5. Step 5: Solve for x
    x = 14,309.02/109.06
  6. Step 6: Final answer
    x = 131.20

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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.