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Finding the Fourth Proportional to 48,497.62, 72,684.75 and 21,815.09

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Solution

The fourth proportional to 48,497.62, 72,684.75 and 21,815.09 is: 32,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,497.62 : 72,684.75 = 21,815.09 : x
  2. Step 2: Convert to fraction form
    48,497.62/72,684.75 = 21,815.09/x
  3. Step 3: Cross multiply
    48,497.62x = 72,684.75 × 21,815.09
  4. Step 4: Simplify right side
    48,497.62x = 1,585,623,999.45
  5. Step 5: Solve for x
    x = 1,585,623,999.45/48,497.62
  6. Step 6: Final answer
    x = 32,694.88

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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.