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Finding the Fourth Proportional to 74,331.67, 102,578.46 and 40,340.46

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Solution

The fourth proportional to 74,331.67, 102,578.46 and 40,340.46 is: 55,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,331.67 : 102,578.46 = 40,340.46 : x
  2. Step 2: Convert to fraction form
    74,331.67/102,578.46 = 40,340.46/x
  3. Step 3: Cross multiply
    74,331.67x = 102,578.46 × 40,340.46
  4. Step 4: Simplify right side
    74,331.67x = 4,138,062,262.49
  5. Step 5: Solve for x
    x = 4,138,062,262.49/74,331.67
  6. Step 6: Final answer
    x = 55,670.24

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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.