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Finding the Fourth Proportional to 103.02, 142.45 and 78.44

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Solution

The fourth proportional to 103.02, 142.45 and 78.44 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 142.45 = 78.44 : x
  2. Step 2: Convert to fraction form
    103.02/142.45 = 78.44/x
  3. Step 3: Cross multiply
    103.02x = 142.45 × 78.44
  4. Step 4: Simplify right side
    103.02x = 11,173.78
  5. Step 5: Solve for x
    x = 11,173.78/103.02
  6. Step 6: Final answer
    x = 108.46

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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.