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Finding the Fourth Proportional to 189,285.90, 283,687.65 and 100,581.90

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Solution

The fourth proportional to 189,285.90, 283,687.65 and 100,581.90 is: 150,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,285.90 : 283,687.65 = 100,581.90 : x
  2. Step 2: Convert to fraction form
    189,285.90/283,687.65 = 100,581.90/x
  3. Step 3: Cross multiply
    189,285.90x = 283,687.65 × 100,581.90
  4. Step 4: Simplify right side
    189,285.90x = 28,533,842,843.54
  5. Step 5: Solve for x
    x = 28,533,842,843.54/189,285.90
  6. Step 6: Final answer
    x = 150,744.68

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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.