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Finding the Fourth Proportional to 74,950, 103,431 and 41,421.04

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Solution

The fourth proportional to 74,950, 103,431 and 41,421.04 is: 57,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,950 : 103,431 = 41,421.04 : x
  2. Step 2: Convert to fraction form
    74,950/103,431 = 41,421.04/x
  3. Step 3: Cross multiply
    74,950x = 103,431 × 41,421.04
  4. Step 4: Simplify right side
    74,950x = 4,284,219,588.24
  5. Step 5: Solve for x
    x = 4,284,219,588.24/74,950
  6. Step 6: Final answer
    x = 57,161.04

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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.