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Finding the Fourth Proportional to 126,008.68, 189,020.32 and 32,512

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Solution

The fourth proportional to 126,008.68, 189,020.32 and 32,512 is: 48,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,008.68 : 189,020.32 = 32,512 : x
  2. Step 2: Convert to fraction form
    126,008.68/189,020.32 = 32,512/x
  3. Step 3: Cross multiply
    126,008.68x = 189,020.32 × 32,512
  4. Step 4: Simplify right side
    126,008.68x = 6,145,428,643.84
  5. Step 5: Solve for x
    x = 6,145,428,643.84/126,008.68
  6. Step 6: Final answer
    x = 48,769.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.