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Finding the Fourth Proportional to 225,665.50, 311,418.39 and 125,069.98

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Solution

The fourth proportional to 225,665.50, 311,418.39 and 125,069.98 is: 172,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,665.50 : 311,418.39 = 125,069.98 : x
  2. Step 2: Convert to fraction form
    225,665.50/311,418.39 = 125,069.98/x
  3. Step 3: Cross multiply
    225,665.50x = 311,418.39 × 125,069.98
  4. Step 4: Simplify right side
    225,665.50x = 38,949,091,808.93
  5. Step 5: Solve for x
    x = 38,949,091,808.93/225,665.50
  6. Step 6: Final answer
    x = 172,596.57

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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.