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Finding the Fourth Proportional to 48,304.41, 72,456.90 and 21,990.75

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Solution

The fourth proportional to 48,304.41, 72,456.90 and 21,990.75 is: 32,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,304.41 : 72,456.90 = 21,990.75 : x
  2. Step 2: Convert to fraction form
    48,304.41/72,456.90 = 21,990.75/x
  3. Step 3: Cross multiply
    48,304.41x = 72,456.90 × 21,990.75
  4. Step 4: Simplify right side
    48,304.41x = 1,593,381,573.68
  5. Step 5: Solve for x
    x = 1,593,381,573.68/48,304.41
  6. Step 6: Final answer
    x = 32,986.25

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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.