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Finding the Fourth Proportional to 103.86, 155.63 and 83.57

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Solution

The fourth proportional to 103.86, 155.63 and 83.57 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 155.63 = 83.57 : x
  2. Step 2: Convert to fraction form
    103.86/155.63 = 83.57/x
  3. Step 3: Cross multiply
    103.86x = 155.63 × 83.57
  4. Step 4: Simplify right side
    103.86x = 13,005.43
  5. Step 5: Solve for x
    x = 13,005.43/103.86
  6. Step 6: Final answer
    x = 125.22

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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.