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Finding the Fourth Proportional to 122.47, 168.95 and 78.25

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Solution

The fourth proportional to 122.47, 168.95 and 78.25 is: 107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.47 : 168.95 = 78.25 : x
  2. Step 2: Convert to fraction form
    122.47/168.95 = 78.25/x
  3. Step 3: Cross multiply
    122.47x = 168.95 × 78.25
  4. Step 4: Simplify right side
    122.47x = 13,220.34
  5. Step 5: Solve for x
    x = 13,220.34/122.47
  6. Step 6: Final answer
    x = 107.95

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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.