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Finding the Fourth Proportional to 103.98, 156.48 and 78.44

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Solution

The fourth proportional to 103.98, 156.48 and 78.44 is: 118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.98 : 156.48 = 78.44 : x
  2. Step 2: Convert to fraction form
    103.98/156.48 = 78.44/x
  3. Step 3: Cross multiply
    103.98x = 156.48 × 78.44
  4. Step 4: Simplify right side
    103.98x = 12,273.51
  5. Step 5: Solve for x
    x = 12,273.51/103.98
  6. Step 6: Final answer
    x = 118.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.