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Finding the Fourth Proportional to 73,911, 101,997.24 and 40,377

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Solution

The fourth proportional to 73,911, 101,997.24 and 40,377 is: 55,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,911 : 101,997.24 = 40,377 : x
  2. Step 2: Convert to fraction form
    73,911/101,997.24 = 40,377/x
  3. Step 3: Cross multiply
    73,911x = 101,997.24 × 40,377
  4. Step 4: Simplify right side
    73,911x = 4,118,342,559.48
  5. Step 5: Solve for x
    x = 4,118,342,559.48/73,911
  6. Step 6: Final answer
    x = 55,720.29

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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.