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Finding the Fourth Proportional to 103.86, 143.25 and 77.94

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Solution

The fourth proportional to 103.86, 143.25 and 77.94 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 143.25 = 77.94 : x
  2. Step 2: Convert to fraction form
    103.86/143.25 = 77.94/x
  3. Step 3: Cross multiply
    103.86x = 143.25 × 77.94
  4. Step 4: Simplify right side
    103.86x = 11,164.91
  5. Step 5: Solve for x
    x = 11,164.91/103.86
  6. Step 6: Final answer
    x = 107.50

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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.