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Finding the Fourth Proportional to 103.78, 143.21 and 59.52

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Solution

The fourth proportional to 103.78, 143.21 and 59.52 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 143.21 = 59.52 : x
  2. Step 2: Convert to fraction form
    103.78/143.21 = 59.52/x
  3. Step 3: Cross multiply
    103.78x = 143.21 × 59.52
  4. Step 4: Simplify right side
    103.78x = 8,523.86
  5. Step 5: Solve for x
    x = 8,523.86/103.78
  6. Step 6: Final answer
    x = 82.13

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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.