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Finding the Fourth Proportional to 54,470.52, 81,710.80 and 21,193.08

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Solution

The fourth proportional to 54,470.52, 81,710.80 and 21,193.08 is: 31,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,470.52 : 81,710.80 = 21,193.08 : x
  2. Step 2: Convert to fraction form
    54,470.52/81,710.80 = 21,193.08/x
  3. Step 3: Cross multiply
    54,470.52x = 81,710.80 × 21,193.08
  4. Step 4: Simplify right side
    54,470.52x = 1,731,703,521.26
  5. Step 5: Solve for x
    x = 1,731,703,521.26/54,470.52
  6. Step 6: Final answer
    x = 31,791.57

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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.