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Finding the Fourth Proportional to 118,112.72, 177,177.72 and 47,993.36

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Solution

The fourth proportional to 118,112.72, 177,177.72 and 47,993.36 is: 71,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,112.72 : 177,177.72 = 47,993.36 : x
  2. Step 2: Convert to fraction form
    118,112.72/177,177.72 = 47,993.36/x
  3. Step 3: Cross multiply
    118,112.72x = 177,177.72 × 47,993.36
  4. Step 4: Simplify right side
    118,112.72x = 8,503,354,099.94
  5. Step 5: Solve for x
    x = 8,503,354,099.94/118,112.72
  6. Step 6: Final answer
    x = 71,993.55

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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.