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Finding the Fourth Proportional to 126,584.89, 189,765.58 and 47,754.47

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Solution

The fourth proportional to 126,584.89, 189,765.58 and 47,754.47 is: 71,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,584.89 : 189,765.58 = 47,754.47 : x
  2. Step 2: Convert to fraction form
    126,584.89/189,765.58 = 47,754.47/x
  3. Step 3: Cross multiply
    126,584.89x = 189,765.58 × 47,754.47
  4. Step 4: Simplify right side
    126,584.89x = 9,062,154,697.14
  5. Step 5: Solve for x
    x = 9,062,154,697.14/126,584.89
  6. Step 6: Final answer
    x = 71,589.55

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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.