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Finding the Fourth Proportional to 73,757.75, 101,782.64 and 40,223.75

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Solution

The fourth proportional to 73,757.75, 101,782.64 and 40,223.75 is: 55,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,757.75 : 101,782.64 = 40,223.75 : x
  2. Step 2: Convert to fraction form
    73,757.75/101,782.64 = 40,223.75/x
  3. Step 3: Cross multiply
    73,757.75x = 101,782.64 × 40,223.75
  4. Step 4: Simplify right side
    73,757.75x = 4,094,079,057.35
  5. Step 5: Solve for x
    x = 4,094,079,057.35/73,757.75
  6. Step 6: Final answer
    x = 55,507.11

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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.