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Finding the Fourth Proportional to 103.78, 156.28 and 83.53

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Solution

The fourth proportional to 103.78, 156.28 and 83.53 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 156.28 = 83.53 : x
  2. Step 2: Convert to fraction form
    103.78/156.28 = 83.53/x
  3. Step 3: Cross multiply
    103.78x = 156.28 × 83.53
  4. Step 4: Simplify right side
    103.78x = 13,052.87
  5. Step 5: Solve for x
    x = 13,052.87/103.78
  6. Step 6: Final answer
    x = 125.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.