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Finding the Fourth Proportional to 126,642.24, 189,858.24 and 47,712.96

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Solution

The fourth proportional to 126,642.24, 189,858.24 and 47,712.96 is: 71,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,642.24 : 189,858.24 = 47,712.96 : x
  2. Step 2: Convert to fraction form
    126,642.24/189,858.24 = 47,712.96/x
  3. Step 3: Cross multiply
    126,642.24x = 189,858.24 × 47,712.96
  4. Step 4: Simplify right side
    126,642.24x = 9,058,698,610.79
  5. Step 5: Solve for x
    x = 9,058,698,610.79/126,642.24
  6. Step 6: Final answer
    x = 71,529.84

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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.