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Finding the Fourth Proportional to 117.60, 161.91 and 111.53

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Solution

The fourth proportional to 117.60, 161.91 and 111.53 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 161.91 = 111.53 : x
  2. Step 2: Convert to fraction form
    117.60/161.91 = 111.53/x
  3. Step 3: Cross multiply
    117.60x = 161.91 × 111.53
  4. Step 4: Simplify right side
    117.60x = 18,057.01
  5. Step 5: Solve for x
    x = 18,057.01/117.60
  6. Step 6: Final answer
    x = 153.55

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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.