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Finding the Fourth Proportional to 104.10, 142.73 and 99.78

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Solution

The fourth proportional to 104.10, 142.73 and 99.78 is: 136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 142.73 = 99.78 : x
  2. Step 2: Convert to fraction form
    104.10/142.73 = 99.78/x
  3. Step 3: Cross multiply
    104.10x = 142.73 × 99.78
  4. Step 4: Simplify right side
    104.10x = 14,241.10
  5. Step 5: Solve for x
    x = 14,241.10/104.10
  6. Step 6: Final answer
    x = 136.80

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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.