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Finding the Fourth Proportional to 225,718.66, 311,524.41 and 130,206.34

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Solution

The fourth proportional to 225,718.66, 311,524.41 and 130,206.34 is: 179,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,718.66 : 311,524.41 = 130,206.34 : x
  2. Step 2: Convert to fraction form
    225,718.66/311,524.41 = 130,206.34/x
  3. Step 3: Cross multiply
    225,718.66x = 311,524.41 × 130,206.34
  4. Step 4: Simplify right side
    225,718.66x = 40,562,453,246.76
  5. Step 5: Solve for x
    x = 40,562,453,246.76/225,718.66
  6. Step 6: Final answer
    x = 179,703.59

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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.