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Finding the Fourth Proportional to 116.87, 160.43 and 111.60

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Solution

The fourth proportional to 116.87, 160.43 and 111.60 is: 153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.87 : 160.43 = 111.60 : x
  2. Step 2: Convert to fraction form
    116.87/160.43 = 111.60/x
  3. Step 3: Cross multiply
    116.87x = 160.43 × 111.60
  4. Step 4: Simplify right side
    116.87x = 17,903.43
  5. Step 5: Solve for x
    x = 17,903.43/116.87
  6. Step 6: Final answer
    x = 153.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.