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Finding the Fourth Proportional to 121.70, 168 and 117.02

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Solution

The fourth proportional to 121.70, 168 and 117.02 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.70 : 168 = 117.02 : x
  2. Step 2: Convert to fraction form
    121.70/168 = 117.02/x
  3. Step 3: Cross multiply
    121.70x = 168 × 117.02
  4. Step 4: Simplify right side
    121.70x = 19,659.36
  5. Step 5: Solve for x
    x = 19,659.36/121.70
  6. Step 6: Final answer
    x = 161.54

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1.5x scale

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.