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Finding the Fourth Proportional to 126,500.28, 189,783.28 and 37,753.78

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Solution

The fourth proportional to 126,500.28, 189,783.28 and 37,753.78 is: 56,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,500.28 : 189,783.28 = 37,753.78 : x
  2. Step 2: Convert to fraction form
    126,500.28/189,783.28 = 37,753.78/x
  3. Step 3: Cross multiply
    126,500.28x = 189,783.28 × 37,753.78
  4. Step 4: Simplify right side
    126,500.28x = 7,165,036,665.05
  5. Step 5: Solve for x
    x = 7,165,036,665.05/126,500.28
  6. Step 6: Final answer
    x = 56,640.48

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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.