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Finding the Fourth Proportional to 163,448, 225,561.20 and 90,857.68

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Solution

The fourth proportional to 163,448, 225,561.20 and 90,857.68 is: 125,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,448 : 225,561.20 = 90,857.68 : x
  2. Step 2: Convert to fraction form
    163,448/225,561.20 = 90,857.68/x
  3. Step 3: Cross multiply
    163,448x = 225,561.20 × 90,857.68
  4. Step 4: Simplify right side
    163,448x = 20,493,967,330.02
  5. Step 5: Solve for x
    x = 20,493,967,330.02/163,448
  6. Step 6: Final answer
    x = 125,385.24

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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.