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Finding the Fourth Proportional to 74,448, 102,738.24 and 40,914

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Solution

The fourth proportional to 74,448, 102,738.24 and 40,914 is: 56,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,448 : 102,738.24 = 40,914 : x
  2. Step 2: Convert to fraction form
    74,448/102,738.24 = 40,914/x
  3. Step 3: Cross multiply
    74,448x = 102,738.24 × 40,914
  4. Step 4: Simplify right side
    74,448x = 4,203,432,351.36
  5. Step 5: Solve for x
    x = 4,203,432,351.36/74,448
  6. Step 6: Final answer
    x = 56,461.32

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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.