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Finding the Fourth Proportional to 74,540.91, 102,866.91 and 40,549.71

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Solution

The fourth proportional to 74,540.91, 102,866.91 and 40,549.71 is: 55,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,540.91 : 102,866.91 = 40,549.71 : x
  2. Step 2: Convert to fraction form
    74,540.91/102,866.91 = 40,549.71/x
  3. Step 3: Cross multiply
    74,540.91x = 102,866.91 × 40,549.71
  4. Step 4: Simplify right side
    74,540.91x = 4,171,223,369.10
  5. Step 5: Solve for x
    x = 4,171,223,369.10/74,540.91
  6. Step 6: Final answer
    x = 55,958.85

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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.