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Finding the Fourth Proportional to 74,401.31, 102,674.55 and 40,410.47

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Solution

The fourth proportional to 74,401.31, 102,674.55 and 40,410.47 is: 55,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,401.31 : 102,674.55 = 40,410.47 : x
  2. Step 2: Convert to fraction form
    74,401.31/102,674.55 = 40,410.47/x
  3. Step 3: Cross multiply
    74,401.31x = 102,674.55 × 40,410.47
  4. Step 4: Simplify right side
    74,401.31x = 4,149,126,822.54
  5. Step 5: Solve for x
    x = 4,149,126,822.54/74,401.31
  6. Step 6: Final answer
    x = 55,766.85

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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.