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Finding the Fourth Proportional to 189,219.86, 283,747.42 and 54,254.15

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Solution

The fourth proportional to 189,219.86, 283,747.42 and 54,254.15 is: 81,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,219.86 : 283,747.42 = 54,254.15 : x
  2. Step 2: Convert to fraction form
    189,219.86/283,747.42 = 54,254.15/x
  3. Step 3: Cross multiply
    189,219.86x = 283,747.42 × 54,254.15
  4. Step 4: Simplify right side
    189,219.86x = 15,394,475,086.79
  5. Step 5: Solve for x
    x = 15,394,475,086.79/189,219.86
  6. Step 6: Final answer
    x = 81,357.61

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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.