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Finding the Fourth Proportional to 189,615.36, 284,465.46 and 71,287.73

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Solution

The fourth proportional to 189,615.36, 284,465.46 and 71,287.73 is: 106,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,615.36 : 284,465.46 = 71,287.73 : x
  2. Step 2: Convert to fraction form
    189,615.36/284,465.46 = 71,287.73/x
  3. Step 3: Cross multiply
    189,615.36x = 284,465.46 × 71,287.73
  4. Step 4: Simplify right side
    189,615.36x = 20,278,895,484.48
  5. Step 5: Solve for x
    x = 20,278,895,484.48/189,615.36
  6. Step 6: Final answer
    x = 106,947.54

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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.