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Finding the Fourth Proportional to 126,623.58, 189,978.72 and 47,760.36

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Solution

The fourth proportional to 126,623.58, 189,978.72 and 47,760.36 is: 71,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,623.58 : 189,978.72 = 47,760.36 : x
  2. Step 2: Convert to fraction form
    126,623.58/189,978.72 = 47,760.36/x
  3. Step 3: Cross multiply
    126,623.58x = 189,978.72 × 47,760.36
  4. Step 4: Simplify right side
    126,623.58x = 9,073,452,059.54
  5. Step 5: Solve for x
    x = 9,073,452,059.54/126,623.58
  6. Step 6: Final answer
    x = 71,656.89

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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.