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Finding the Fourth Proportional to 121.70, 181.34 and 117.05

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Solution

The fourth proportional to 121.70, 181.34 and 117.05 is: 174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.70 : 181.34 = 117.05 : x
  2. Step 2: Convert to fraction form
    121.70/181.34 = 117.05/x
  3. Step 3: Cross multiply
    121.70x = 181.34 × 117.05
  4. Step 4: Simplify right side
    121.70x = 21,224.79
  5. Step 5: Solve for x
    x = 21,224.79/121.70
  6. Step 6: Final answer
    x = 174.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.