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Finding the Fourth Proportional to 75.45, 112.43 and 72.18

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Solution

The fourth proportional to 75.45, 112.43 and 72.18 is: 107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 112.43 = 72.18 : x
  2. Step 2: Convert to fraction form
    75.45/112.43 = 72.18/x
  3. Step 3: Cross multiply
    75.45x = 112.43 × 72.18
  4. Step 4: Simplify right side
    75.45x = 8,114.84
  5. Step 5: Solve for x
    x = 8,114.84/75.45
  6. Step 6: Final answer
    x = 107.55

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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.