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Finding the Fourth Proportional to 126,124.80, 189,115.20 and 47,241.60

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Solution

The fourth proportional to 126,124.80, 189,115.20 and 47,241.60 is: 70,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,124.80 : 189,115.20 = 47,241.60 : x
  2. Step 2: Convert to fraction form
    126,124.80/189,115.20 = 47,241.60/x
  3. Step 3: Cross multiply
    126,124.80x = 189,115.20 × 47,241.60
  4. Step 4: Simplify right side
    126,124.80x = 8,934,104,632.32
  5. Step 5: Solve for x
    x = 8,934,104,632.32/126,124.80
  6. Step 6: Final answer
    x = 70,835.43

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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.