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Finding the Fourth Proportional to 225,507.68, 311,196 and 130,008.68

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Solution

The fourth proportional to 225,507.68, 311,196 and 130,008.68 is: 179,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,507.68 : 311,196 = 130,008.68 : x
  2. Step 2: Convert to fraction form
    225,507.68/311,196 = 130,008.68/x
  3. Step 3: Cross multiply
    225,507.68x = 311,196 × 130,008.68
  4. Step 4: Simplify right side
    225,507.68x = 40,458,181,181.28
  5. Step 5: Solve for x
    x = 40,458,181,181.28/225,507.68
  6. Step 6: Final answer
    x = 179,409.33

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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.