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Finding the Fourth Proportional to 225,369.24, 311,006.70 and 135,945.24

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Solution

The fourth proportional to 225,369.24, 311,006.70 and 135,945.24 is: 187,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,369.24 : 311,006.70 = 135,945.24 : x
  2. Step 2: Convert to fraction form
    225,369.24/311,006.70 = 135,945.24/x
  3. Step 3: Cross multiply
    225,369.24x = 311,006.70 × 135,945.24
  4. Step 4: Simplify right side
    225,369.24x = 42,279,880,473.11
  5. Step 5: Solve for x
    x = 42,279,880,473.11/225,369.24
  6. Step 6: Final answer
    x = 187,602.71

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1.5x scale

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.