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Finding the Fourth Proportional to 75.78, 113.71 and 50.15

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Solution

The fourth proportional to 75.78, 113.71 and 50.15 is: 75.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 113.71 = 50.15 : x
  2. Step 2: Convert to fraction form
    75.78/113.71 = 50.15/x
  3. Step 3: Cross multiply
    75.78x = 113.71 × 50.15
  4. Step 4: Simplify right side
    75.78x = 5,701.99
  5. Step 5: Solve for x
    x = 5,701.99/75.78
  6. Step 6: Final answer
    x = 75.25

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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.