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Finding the Fourth Proportional to 47,793.77, 71,678.35 and 19,721.80

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Solution

The fourth proportional to 47,793.77, 71,678.35 and 19,721.80 is: 29,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.77 : 71,678.35 = 19,721.80 : x
  2. Step 2: Convert to fraction form
    47,793.77/71,678.35 = 19,721.80/x
  3. Step 3: Cross multiply
    47,793.77x = 71,678.35 × 19,721.80
  4. Step 4: Simplify right side
    47,793.77x = 1,413,626,083.03
  5. Step 5: Solve for x
    x = 1,413,626,083.03/47,793.77
  6. Step 6: Final answer
    x = 29,577.62

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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.