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Finding the Fourth Proportional to 118,078.52, 177,120.21 and 47,909.84

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Solution

The fourth proportional to 118,078.52, 177,120.21 and 47,909.84 is: 71,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078.52 : 177,120.21 = 47,909.84 : x
  2. Step 2: Convert to fraction form
    118,078.52/177,120.21 = 47,909.84/x
  3. Step 3: Cross multiply
    118,078.52x = 177,120.21 × 47,909.84
  4. Step 4: Simplify right side
    118,078.52x = 8,485,800,921.87
  5. Step 5: Solve for x
    x = 8,485,800,921.87/118,078.52
  6. Step 6: Final answer
    x = 71,865.75

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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.