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Finding the Fourth Proportional to 225,692.10, 311,554.28 and 157,974.95

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Solution

The fourth proportional to 225,692.10, 311,554.28 and 157,974.95 is: 218,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692.10 : 311,554.28 = 157,974.95 : x
  2. Step 2: Convert to fraction form
    225,692.10/311,554.28 = 157,974.95/x
  3. Step 3: Cross multiply
    225,692.10x = 311,554.28 × 157,974.95
  4. Step 4: Simplify right side
    225,692.10x = 49,217,772,979.11
  5. Step 5: Solve for x
    x = 49,217,772,979.11/225,692.10
  6. Step 6: Final answer
    x = 218,074.86

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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.