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Finding the Fourth Proportional to 53.19, 80.12 and 50.36

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Solution

The fourth proportional to 53.19, 80.12 and 50.36 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.19 : 80.12 = 50.36 : x
  2. Step 2: Convert to fraction form
    53.19/80.12 = 50.36/x
  3. Step 3: Cross multiply
    53.19x = 80.12 × 50.36
  4. Step 4: Simplify right side
    53.19x = 4,034.57
  5. Step 5: Solve for x
    x = 4,034.57/53.19
  6. Step 6: Final answer
    x = 75.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.