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Finding the Fourth Proportional to 74,764.78, 103,174.10 and 40,773.54

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Solution

The fourth proportional to 74,764.78, 103,174.10 and 40,773.54 is: 56,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764.78 : 103,174.10 = 40,773.54 : x
  2. Step 2: Convert to fraction form
    74,764.78/103,174.10 = 40,773.54/x
  3. Step 3: Cross multiply
    74,764.78x = 103,174.10 × 40,773.54
  4. Step 4: Simplify right side
    74,764.78x = 4,206,773,293.31
  5. Step 5: Solve for x
    x = 4,206,773,293.31/74,764.78
  6. Step 6: Final answer
    x = 56,266.78

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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.