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Finding the Fourth Proportional to 259,159.57, 388,473.03 and 99,198

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Solution

The fourth proportional to 259,159.57, 388,473.03 and 99,198 is: 148,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,159.57 : 388,473.03 = 99,198 : x
  2. Step 2: Convert to fraction form
    259,159.57/388,473.03 = 99,198/x
  3. Step 3: Cross multiply
    259,159.57x = 388,473.03 × 99,198
  4. Step 4: Simplify right side
    259,159.57x = 38,535,747,629.94
  5. Step 5: Solve for x
    x = 38,535,747,629.94/259,159.57
  6. Step 6: Final answer
    x = 148,695.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.