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Finding the Fourth Proportional to 104.24, 143.80 and 78.02

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Solution

The fourth proportional to 104.24, 143.80 and 78.02 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 143.80 = 78.02 : x
  2. Step 2: Convert to fraction form
    104.24/143.80 = 78.02/x
  3. Step 3: Cross multiply
    104.24x = 143.80 × 78.02
  4. Step 4: Simplify right side
    104.24x = 11,219.28
  5. Step 5: Solve for x
    x = 11,219.28/104.24
  6. Step 6: Final answer
    x = 107.63

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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.