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Finding the Fourth Proportional to 189,183.69, 283,642.47 and 87,874.19

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Solution

The fourth proportional to 189,183.69, 283,642.47 and 87,874.19 is: 131,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,183.69 : 283,642.47 = 87,874.19 : x
  2. Step 2: Convert to fraction form
    189,183.69/283,642.47 = 87,874.19/x
  3. Step 3: Cross multiply
    189,183.69x = 283,642.47 × 87,874.19
  4. Step 4: Simplify right side
    189,183.69x = 24,924,852,300.85
  5. Step 5: Solve for x
    x = 24,924,852,300.85/189,183.69
  6. Step 6: Final answer
    x = 131,749.48

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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.