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Finding the Fourth Proportional to 225,651, 338,632.08 and 77,907

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Solution

The fourth proportional to 225,651, 338,632.08 and 77,907 is: 116,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,651 : 338,632.08 = 77,907 : x
  2. Step 2: Convert to fraction form
    225,651/338,632.08 = 77,907/x
  3. Step 3: Cross multiply
    225,651x = 338,632.08 × 77,907
  4. Step 4: Simplify right side
    225,651x = 26,381,809,456.56
  5. Step 5: Solve for x
    x = 26,381,809,456.56/225,651
  6. Step 6: Final answer
    x = 116,914.21

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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.