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Finding the Fourth Proportional to 121.75, 167.78 and 78.01

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Solution

The fourth proportional to 121.75, 167.78 and 78.01 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.75 : 167.78 = 78.01 : x
  2. Step 2: Convert to fraction form
    121.75/167.78 = 78.01/x
  3. Step 3: Cross multiply
    121.75x = 167.78 × 78.01
  4. Step 4: Simplify right side
    121.75x = 13,088.52
  5. Step 5: Solve for x
    x = 13,088.52/121.75
  6. Step 6: Final answer
    x = 107.50

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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.