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Finding the Fourth Proportional to 225,728.19, 311,503.19 and 123,752.43

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Solution

The fourth proportional to 225,728.19, 311,503.19 and 123,752.43 is: 170,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,728.19 : 311,503.19 = 123,752.43 : x
  2. Step 2: Convert to fraction form
    225,728.19/311,503.19 = 123,752.43/x
  3. Step 3: Cross multiply
    225,728.19x = 311,503.19 × 123,752.43
  4. Step 4: Simplify right side
    225,728.19x = 38,549,276,096.49
  5. Step 5: Solve for x
    x = 38,549,276,096.49/225,728.19
  6. Step 6: Final answer
    x = 170,777.41

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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.