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Finding the Fourth Proportional to 122.91, 169.36 and 93.75

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Solution

The fourth proportional to 122.91, 169.36 and 93.75 is: 129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 169.36 = 93.75 : x
  2. Step 2: Convert to fraction form
    122.91/169.36 = 93.75/x
  3. Step 3: Cross multiply
    122.91x = 169.36 × 93.75
  4. Step 4: Simplify right side
    122.91x = 15,877.50
  5. Step 5: Solve for x
    x = 15,877.50/122.91
  6. Step 6: Final answer
    x = 129.18

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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.