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Finding the Fourth Proportional to 73,821, 101,873.07 and 40,287

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Solution

The fourth proportional to 73,821, 101,873.07 and 40,287 is: 55,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821 : 101,873.07 = 40,287 : x
  2. Step 2: Convert to fraction form
    73,821/101,873.07 = 40,287/x
  3. Step 3: Cross multiply
    73,821x = 101,873.07 × 40,287
  4. Step 4: Simplify right side
    73,821x = 4,104,160,371.09
  5. Step 5: Solve for x
    x = 4,104,160,371.09/73,821
  6. Step 6: Final answer
    x = 55,596.11

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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.