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Finding the Fourth Proportional to 225,450, 338,226.84 and 77,706

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Solution

The fourth proportional to 225,450, 338,226.84 and 77,706 is: 116,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,450 : 338,226.84 = 77,706 : x
  2. Step 2: Convert to fraction form
    225,450/338,226.84 = 77,706/x
  3. Step 3: Cross multiply
    225,450x = 338,226.84 × 77,706
  4. Step 4: Simplify right side
    225,450x = 26,282,254,829.04
  5. Step 5: Solve for x
    x = 26,282,254,829.04/225,450
  6. Step 6: Final answer
    x = 116,576.87

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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.