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Finding the Fourth Proportional to 54,640.83, 81,980.79 and 21,384.75

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Solution

The fourth proportional to 54,640.83, 81,980.79 and 21,384.75 is: 32,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,640.83 : 81,980.79 = 21,384.75 : x
  2. Step 2: Convert to fraction form
    54,640.83/81,980.79 = 21,384.75/x
  3. Step 3: Cross multiply
    54,640.83x = 81,980.79 × 21,384.75
  4. Step 4: Simplify right side
    54,640.83x = 1,753,138,698.95
  5. Step 5: Solve for x
    x = 1,753,138,698.95/54,640.83
  6. Step 6: Final answer
    x = 32,084.77

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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.