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Finding the Fourth Proportional to 118,974.17, 178,223.32 and 71,563.09

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Solution

The fourth proportional to 118,974.17, 178,223.32 and 71,563.09 is: 107,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974.17 : 178,223.32 = 71,563.09 : x
  2. Step 2: Convert to fraction form
    118,974.17/178,223.32 = 71,563.09/x
  3. Step 3: Cross multiply
    118,974.17x = 178,223.32 × 71,563.09
  4. Step 4: Simplify right side
    118,974.17x = 12,754,211,489.26
  5. Step 5: Solve for x
    x = 12,754,211,489.26/118,974.17
  6. Step 6: Final answer
    x = 107,201.52

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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.