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Finding the Fourth Proportional to 189,739.75, 284,567.69 and 54,774.48

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Solution

The fourth proportional to 189,739.75, 284,567.69 and 54,774.48 is: 82,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,739.75 : 284,567.69 = 54,774.48 : x
  2. Step 2: Convert to fraction form
    189,739.75/284,567.69 = 54,774.48/x
  3. Step 3: Cross multiply
    189,739.75x = 284,567.69 × 54,774.48
  4. Step 4: Simplify right side
    189,739.75x = 15,587,047,244.55
  5. Step 5: Solve for x
    x = 15,587,047,244.55/189,739.75
  6. Step 6: Final answer
    x = 82,149.61

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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.