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Finding the Fourth Proportional to 118,972.50, 178,449.29 and 47,845

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Solution

The fourth proportional to 118,972.50, 178,449.29 and 47,845 is: 71,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,972.50 : 178,449.29 = 47,845 : x
  2. Step 2: Convert to fraction form
    118,972.50/178,449.29 = 47,845/x
  3. Step 3: Cross multiply
    118,972.50x = 178,449.29 × 47,845
  4. Step 4: Simplify right side
    118,972.50x = 8,537,906,280.05
  5. Step 5: Solve for x
    x = 8,537,906,280.05/118,972.50
  6. Step 6: Final answer
    x = 71,763.70

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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.