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Finding the Fourth Proportional to 74,448, 102,744.81 and 40,920.48

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Solution

The fourth proportional to 74,448, 102,744.81 and 40,920.48 is: 56,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,448 : 102,744.81 = 40,920.48 : x
  2. Step 2: Convert to fraction form
    74,448/102,744.81 = 40,920.48/x
  3. Step 3: Cross multiply
    74,448x = 102,744.81 × 40,920.48
  4. Step 4: Simplify right side
    74,448x = 4,204,366,942.71
  5. Step 5: Solve for x
    x = 4,204,366,942.71/74,448
  6. Step 6: Final answer
    x = 56,473.87

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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.