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Finding the Fourth Proportional to 103.71, 143.19 and 77.77

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Solution

The fourth proportional to 103.71, 143.19 and 77.77 is: 107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.71 : 143.19 = 77.77 : x
  2. Step 2: Convert to fraction form
    103.71/143.19 = 77.77/x
  3. Step 3: Cross multiply
    103.71x = 143.19 × 77.77
  4. Step 4: Simplify right side
    103.71x = 11,135.89
  5. Step 5: Solve for x
    x = 11,135.89/103.71
  6. Step 6: Final answer
    x = 107.38

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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.