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Finding the Fourth Proportional to 103.86, 155.79 and 87.66

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Solution

The fourth proportional to 103.86, 155.79 and 87.66 is: 131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 155.79 = 87.66 : x
  2. Step 2: Convert to fraction form
    103.86/155.79 = 87.66/x
  3. Step 3: Cross multiply
    103.86x = 155.79 × 87.66
  4. Step 4: Simplify right side
    103.86x = 13,656.55
  5. Step 5: Solve for x
    x = 13,656.55/103.86
  6. Step 6: Final answer
    x = 131.49

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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.