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Finding the Fourth Proportional to 74,765.80, 103,175.48 and 40,774.54

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Solution

The fourth proportional to 74,765.80, 103,175.48 and 40,774.54 is: 56,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,765.80 : 103,175.48 = 40,774.54 : x
  2. Step 2: Convert to fraction form
    74,765.80/103,175.48 = 40,774.54/x
  3. Step 3: Cross multiply
    74,765.80x = 103,175.48 × 40,774.54
  4. Step 4: Simplify right side
    74,765.80x = 4,206,932,736.28
  5. Step 5: Solve for x
    x = 4,206,932,736.28/74,765.80
  6. Step 6: Final answer
    x = 56,268.14

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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.