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Finding the Fourth Proportional to 189,715.34, 284,489.62 and 100,947.73

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Solution

The fourth proportional to 189,715.34, 284,489.62 and 100,947.73 is: 151,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,715.34 : 284,489.62 = 100,947.73 : x
  2. Step 2: Convert to fraction form
    189,715.34/284,489.62 = 100,947.73/x
  3. Step 3: Cross multiply
    189,715.34x = 284,489.62 × 100,947.73
  4. Step 4: Simplify right side
    189,715.34x = 28,718,581,347.56
  5. Step 5: Solve for x
    x = 28,718,581,347.56/189,715.34
  6. Step 6: Final answer
    x = 151,377.22

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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.