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Finding the Fourth Proportional to 118.89, 164.12 and 77.50

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Solution

The fourth proportional to 118.89, 164.12 and 77.50 is: 106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.89 : 164.12 = 77.50 : x
  2. Step 2: Convert to fraction form
    118.89/164.12 = 77.50/x
  3. Step 3: Cross multiply
    118.89x = 164.12 × 77.50
  4. Step 4: Simplify right side
    118.89x = 12,719.30
  5. Step 5: Solve for x
    x = 12,719.30/118.89
  6. Step 6: Final answer
    x = 106.98

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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.