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Finding the Fourth Proportional to 74,380.46, 102,645.03 and 40,388.78

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Solution

The fourth proportional to 74,380.46, 102,645.03 and 40,388.78 is: 55,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380.46 : 102,645.03 = 40,388.78 : x
  2. Step 2: Convert to fraction form
    74,380.46/102,645.03 = 40,388.78/x
  3. Step 3: Cross multiply
    74,380.46x = 102,645.03 × 40,388.78
  4. Step 4: Simplify right side
    74,380.46x = 4,145,707,534.76
  5. Step 5: Solve for x
    x = 4,145,707,534.76/74,380.46
  6. Step 6: Final answer
    x = 55,736.51

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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.