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Finding the Fourth Proportional to 225,773.46, 311,570.87 and 123,808.23

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Solution

The fourth proportional to 225,773.46, 311,570.87 and 123,808.23 is: 170,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,773.46 : 311,570.87 = 123,808.23 : x
  2. Step 2: Convert to fraction form
    225,773.46/311,570.87 = 123,808.23/x
  3. Step 3: Cross multiply
    225,773.46x = 311,570.87 × 123,808.23
  4. Step 4: Simplify right side
    225,773.46x = 38,575,037,315.22
  5. Step 5: Solve for x
    x = 38,575,037,315.22/225,773.46
  6. Step 6: Final answer
    x = 170,857.27

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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.