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Finding the Fourth Proportional to 126,145.68, 189,213 and 31,373.88

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Solution

The fourth proportional to 126,145.68, 189,213 and 31,373.88 is: 47,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,145.68 : 189,213 = 31,373.88 : x
  2. Step 2: Convert to fraction form
    126,145.68/189,213 = 31,373.88/x
  3. Step 3: Cross multiply
    126,145.68x = 189,213 × 31,373.88
  4. Step 4: Simplify right side
    126,145.68x = 5,936,345,956.44
  5. Step 5: Solve for x
    x = 5,936,345,956.44/126,145.68
  6. Step 6: Final answer
    x = 47,059.45

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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.