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Finding the Fourth Proportional to 75.68, 113.63 and 45.26

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Solution

The fourth proportional to 75.68, 113.63 and 45.26 is: 67.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.68 : 113.63 = 45.26 : x
  2. Step 2: Convert to fraction form
    75.68/113.63 = 45.26/x
  3. Step 3: Cross multiply
    75.68x = 113.63 × 45.26
  4. Step 4: Simplify right side
    75.68x = 5,142.89
  5. Step 5: Solve for x
    x = 5,142.89/75.68
  6. Step 6: Final answer
    x = 67.96

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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.