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Finding the Fourth Proportional to 225,728.94, 311,504.22 and 123,753.18

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Solution

The fourth proportional to 225,728.94, 311,504.22 and 123,753.18 is: 170,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,728.94 : 311,504.22 = 123,753.18 : x
  2. Step 2: Convert to fraction form
    225,728.94/311,504.22 = 123,753.18/x
  3. Step 3: Cross multiply
    225,728.94x = 311,504.22 × 123,753.18
  4. Step 4: Simplify right side
    225,728.94x = 38,549,637,808.42
  5. Step 5: Solve for x
    x = 38,549,637,808.42/225,728.94
  6. Step 6: Final answer
    x = 170,778.45

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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.