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Finding the Fourth Proportional to 48,463.14, 72,671 and 19,994.80

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Solution

The fourth proportional to 48,463.14, 72,671 and 19,994.80 is: 29,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.14 : 72,671 = 19,994.80 : x
  2. Step 2: Convert to fraction form
    48,463.14/72,671 = 19,994.80/x
  3. Step 3: Cross multiply
    48,463.14x = 72,671 × 19,994.80
  4. Step 4: Simplify right side
    48,463.14x = 1,453,042,110.80
  5. Step 5: Solve for x
    x = 1,453,042,110.80/48,463.14
  6. Step 6: Final answer
    x = 29,982.42

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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.