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Finding the Fourth Proportional to 121.86, 168.36 and 97.50

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Solution

The fourth proportional to 121.86, 168.36 and 97.50 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.86 : 168.36 = 97.50 : x
  2. Step 2: Convert to fraction form
    121.86/168.36 = 97.50/x
  3. Step 3: Cross multiply
    121.86x = 168.36 × 97.50
  4. Step 4: Simplify right side
    121.86x = 16,415.10
  5. Step 5: Solve for x
    x = 16,415.10/121.86
  6. Step 6: Final answer
    x = 134.70

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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.