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Finding the Fourth Proportional to 116.99, 161.54 and 83.78

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Solution

The fourth proportional to 116.99, 161.54 and 83.78 is: 115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.99 : 161.54 = 83.78 : x
  2. Step 2: Convert to fraction form
    116.99/161.54 = 83.78/x
  3. Step 3: Cross multiply
    116.99x = 161.54 × 83.78
  4. Step 4: Simplify right side
    116.99x = 13,534.89
  5. Step 5: Solve for x
    x = 13,534.89/116.99
  6. Step 6: Final answer
    x = 115.69

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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.