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Finding the Fourth Proportional to 225,678.80, 311,469.90 and 130,166.84

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Solution

The fourth proportional to 225,678.80, 311,469.90 and 130,166.84 is: 179,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,678.80 : 311,469.90 = 130,166.84 : x
  2. Step 2: Convert to fraction form
    225,678.80/311,469.90 = 130,166.84/x
  3. Step 3: Cross multiply
    225,678.80x = 311,469.90 × 130,166.84
  4. Step 4: Simplify right side
    225,678.80x = 40,543,052,638.12
  5. Step 5: Solve for x
    x = 40,543,052,638.12/225,678.80
  6. Step 6: Final answer
    x = 179,649.36

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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.