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Finding the Fourth Proportional to 118,481.40, 177,722.07 and 47,436

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Solution

The fourth proportional to 118,481.40, 177,722.07 and 47,436 is: 71,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,481.40 : 177,722.07 = 47,436 : x
  2. Step 2: Convert to fraction form
    118,481.40/177,722.07 = 47,436/x
  3. Step 3: Cross multiply
    118,481.40x = 177,722.07 × 47,436
  4. Step 4: Simplify right side
    118,481.40x = 8,430,424,112.52
  5. Step 5: Solve for x
    x = 8,430,424,112.52/118,481.40
  6. Step 6: Final answer
    x = 71,153.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.