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Finding the Fourth Proportional to 74,468.22, 102,766.83 and 40,476.78

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Solution

The fourth proportional to 74,468.22, 102,766.83 and 40,476.78 is: 55,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468.22 : 102,766.83 = 40,476.78 : x
  2. Step 2: Convert to fraction form
    74,468.22/102,766.83 = 40,476.78/x
  3. Step 3: Cross multiply
    74,468.22x = 102,766.83 × 40,476.78
  4. Step 4: Simplify right side
    74,468.22x = 4,159,670,369.21
  5. Step 5: Solve for x
    x = 4,159,670,369.21/74,468.22
  6. Step 6: Final answer
    x = 55,858.33

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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.