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Finding the Fourth Proportional to 225,804.32, 311,624 and 125,202.32

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Solution

The fourth proportional to 225,804.32, 311,624 and 125,202.32 is: 172,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,804.32 : 311,624 = 125,202.32 : x
  2. Step 2: Convert to fraction form
    225,804.32/311,624 = 125,202.32/x
  3. Step 3: Cross multiply
    225,804.32x = 311,624 × 125,202.32
  4. Step 4: Simplify right side
    225,804.32x = 39,016,047,767.68
  5. Step 5: Solve for x
    x = 39,016,047,767.68/225,804.32
  6. Step 6: Final answer
    x = 172,786.99

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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.