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Finding the Fourth Proportional to 47,905.01, 71,866.17 and 19,809.80

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Solution

The fourth proportional to 47,905.01, 71,866.17 and 19,809.80 is: 29,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,905.01 : 71,866.17 = 19,809.80 : x
  2. Step 2: Convert to fraction form
    47,905.01/71,866.17 = 19,809.80/x
  3. Step 3: Cross multiply
    47,905.01x = 71,866.17 × 19,809.80
  4. Step 4: Simplify right side
    47,905.01x = 1,423,654,454.47
  5. Step 5: Solve for x
    x = 1,423,654,454.47/47,905.01
  6. Step 6: Final answer
    x = 29,718.28

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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.