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Finding the Fourth Proportional to 225,765.29, 311,559.72 and 123,800.06

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Solution

The fourth proportional to 225,765.29, 311,559.72 and 123,800.06 is: 170,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,765.29 : 311,559.72 = 123,800.06 : x
  2. Step 2: Convert to fraction form
    225,765.29/311,559.72 = 123,800.06/x
  3. Step 3: Cross multiply
    225,765.29x = 311,559.72 × 123,800.06
  4. Step 4: Simplify right side
    225,765.29x = 38,571,112,344.23
  5. Step 5: Solve for x
    x = 38,571,112,344.23/225,765.29
  6. Step 6: Final answer
    x = 170,846.07

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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.