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Finding the Fourth Proportional to 121.79, 183.58 and 101.64

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Solution

The fourth proportional to 121.79, 183.58 and 101.64 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.79 : 183.58 = 101.64 : x
  2. Step 2: Convert to fraction form
    121.79/183.58 = 101.64/x
  3. Step 3: Cross multiply
    121.79x = 183.58 × 101.64
  4. Step 4: Simplify right side
    121.79x = 18,659.07
  5. Step 5: Solve for x
    x = 18,659.07/121.79
  6. Step 6: Final answer
    x = 153.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.