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Finding the Fourth Proportional to 73.43, 109.50 and 67.52

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Solution

The fourth proportional to 73.43, 109.50 and 67.52 is: 100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.43 : 109.50 = 67.52 : x
  2. Step 2: Convert to fraction form
    73.43/109.50 = 67.52/x
  3. Step 3: Cross multiply
    73.43x = 109.50 × 67.52
  4. Step 4: Simplify right side
    73.43x = 7,392.89
  5. Step 5: Solve for x
    x = 7,392.89/73.43
  6. Step 6: Final answer
    x = 100.69

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