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Finding the Fourth Proportional to 259,222.84, 388,836.12 and 81,744.16

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Solution

The fourth proportional to 259,222.84, 388,836.12 and 81,744.16 is: 122,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,222.84 : 388,836.12 = 81,744.16 : x
  2. Step 2: Convert to fraction form
    259,222.84/388,836.12 = 81,744.16/x
  3. Step 3: Cross multiply
    259,222.84x = 388,836.12 × 81,744.16
  4. Step 4: Simplify right side
    259,222.84x = 31,785,082,007.06
  5. Step 5: Solve for x
    x = 31,785,082,007.06/259,222.84
  6. Step 6: Final answer
    x = 122,616.83

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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.