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Finding the Fourth Proportional to 74,078, 102,227.66 and 40,544

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Solution

The fourth proportional to 74,078, 102,227.66 and 40,544 is: 55,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078 : 102,227.66 = 40,544 : x
  2. Step 2: Convert to fraction form
    74,078/102,227.66 = 40,544/x
  3. Step 3: Cross multiply
    74,078x = 102,227.66 × 40,544
  4. Step 4: Simplify right side
    74,078x = 4,144,718,247.04
  5. Step 5: Solve for x
    x = 4,144,718,247.04/74,078
  6. Step 6: Final answer
    x = 55,950.73

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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.