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Finding the Fourth Proportional to 47,380, 71,070.27 and 19,678

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Solution

The fourth proportional to 47,380, 71,070.27 and 19,678 is: 29,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380 : 71,070.27 = 19,678 : x
  2. Step 2: Convert to fraction form
    47,380/71,070.27 = 19,678/x
  3. Step 3: Cross multiply
    47,380x = 71,070.27 × 19,678
  4. Step 4: Simplify right side
    47,380x = 1,398,520,773.06
  5. Step 5: Solve for x
    x = 1,398,520,773.06/47,380
  6. Step 6: Final answer
    x = 29,517.11

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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.