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Finding the Fourth Proportional to 180,902.78, 271,367.13 and 47,781.71

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Solution

The fourth proportional to 180,902.78, 271,367.13 and 47,781.71 is: 71,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.78 : 271,367.13 = 47,781.71 : x
  2. Step 2: Convert to fraction form
    180,902.78/271,367.13 = 47,781.71/x
  3. Step 3: Cross multiply
    180,902.78x = 271,367.13 × 47,781.71
  4. Step 4: Simplify right side
    180,902.78x = 12,966,383,913.45
  5. Step 5: Solve for x
    x = 12,966,383,913.45/180,902.78
  6. Step 6: Final answer
    x = 71,675.98

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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.