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Finding the Fourth Proportional to 225,688.65, 311,367.96 and 135,047.22

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Solution

The fourth proportional to 225,688.65, 311,367.96 and 135,047.22 is: 186,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,688.65 : 311,367.96 = 135,047.22 : x
  2. Step 2: Convert to fraction form
    225,688.65/311,367.96 = 135,047.22/x
  3. Step 3: Cross multiply
    225,688.65x = 311,367.96 × 135,047.22
  4. Step 4: Simplify right side
    225,688.65x = 42,049,377,395.07
  5. Step 5: Solve for x
    x = 42,049,377,395.07/225,688.65
  6. Step 6: Final answer
    x = 186,315.87

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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.