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Finding the Fourth Proportional to 225,471.16, 311,206.35 and 130,035.34

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Solution

The fourth proportional to 225,471.16, 311,206.35 and 130,035.34 is: 179,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,471.16 : 311,206.35 = 130,035.34 : x
  2. Step 2: Convert to fraction form
    225,471.16/311,206.35 = 130,035.34/x
  3. Step 3: Cross multiply
    225,471.16x = 311,206.35 × 130,035.34
  4. Step 4: Simplify right side
    225,471.16x = 40,467,823,532.41
  5. Step 5: Solve for x
    x = 40,467,823,532.41/225,471.16
  6. Step 6: Final answer
    x = 179,481.15

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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.