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Finding the Fourth Proportional to 73,872, 101,943.90 and 40,338

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Solution

The fourth proportional to 73,872, 101,943.90 and 40,338 is: 55,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,872 : 101,943.90 = 40,338 : x
  2. Step 2: Convert to fraction form
    73,872/101,943.90 = 40,338/x
  3. Step 3: Cross multiply
    73,872x = 101,943.90 × 40,338
  4. Step 4: Simplify right side
    73,872x = 4,112,213,038.20
  5. Step 5: Solve for x
    x = 4,112,213,038.20/73,872
  6. Step 6: Final answer
    x = 55,666.73

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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.