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Finding the Fourth Proportional to 121.77, 168 and 90.63

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Solution

The fourth proportional to 121.77, 168 and 90.63 is: 125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.77 : 168 = 90.63 : x
  2. Step 2: Convert to fraction form
    121.77/168 = 90.63/x
  3. Step 3: Cross multiply
    121.77x = 168 × 90.63
  4. Step 4: Simplify right side
    121.77x = 15,225.84
  5. Step 5: Solve for x
    x = 15,225.84/121.77
  6. Step 6: Final answer
    x = 125.04

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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.