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Finding the Fourth Proportional to 73,820.75, 101,872.65 and 40,286.75

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Solution

The fourth proportional to 73,820.75, 101,872.65 and 40,286.75 is: 55,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.75 : 101,872.65 = 40,286.75 : x
  2. Step 2: Convert to fraction form
    73,820.75/101,872.65 = 40,286.75/x
  3. Step 3: Cross multiply
    73,820.75x = 101,872.65 × 40,286.75
  4. Step 4: Simplify right side
    73,820.75x = 4,104,117,982.39
  5. Step 5: Solve for x
    x = 4,104,117,982.39/73,820.75
  6. Step 6: Final answer
    x = 55,595.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.