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Finding the Fourth Proportional to 75.07, 111.95 and 67.39

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Solution

The fourth proportional to 75.07, 111.95 and 67.39 is: 100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.07 : 111.95 = 67.39 : x
  2. Step 2: Convert to fraction form
    75.07/111.95 = 67.39/x
  3. Step 3: Cross multiply
    75.07x = 111.95 × 67.39
  4. Step 4: Simplify right side
    75.07x = 7,544.31
  5. Step 5: Solve for x
    x = 7,544.31/75.07
  6. Step 6: Final answer
    x = 100.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.