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Finding the Fourth Proportional to 74,765.89, 103,175.04 and 40,775.05

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Solution

The fourth proportional to 74,765.89, 103,175.04 and 40,775.05 is: 56,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,765.89 : 103,175.04 = 40,775.05 : x
  2. Step 2: Convert to fraction form
    74,765.89/103,175.04 = 40,775.05/x
  3. Step 3: Cross multiply
    74,765.89x = 103,175.04 × 40,775.05
  4. Step 4: Simplify right side
    74,765.89x = 4,206,967,414.75
  5. Step 5: Solve for x
    x = 4,206,967,414.75/74,765.89
  6. Step 6: Final answer
    x = 56,268.54

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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.