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Finding the Fourth Proportional to 131,448, 181,398.24 and 71,832

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Solution

The fourth proportional to 131,448, 181,398.24 and 71,832 is: 99,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,448 : 181,398.24 = 71,832 : x
  2. Step 2: Convert to fraction form
    131,448/181,398.24 = 71,832/x
  3. Step 3: Cross multiply
    131,448x = 181,398.24 × 71,832
  4. Step 4: Simplify right side
    131,448x = 13,030,198,375.68
  5. Step 5: Solve for x
    x = 13,030,198,375.68/131,448
  6. Step 6: Final answer
    x = 99,128.16

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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.