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Finding the Fourth Proportional to 53,100, 79,644.48 and 33,319.92

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Solution

The fourth proportional to 53,100, 79,644.48 and 33,319.92 is: 49,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100 : 79,644.48 = 33,319.92 : x
  2. Step 2: Convert to fraction form
    53,100/79,644.48 = 33,319.92/x
  3. Step 3: Cross multiply
    53,100x = 79,644.48 × 33,319.92
  4. Step 4: Simplify right side
    53,100x = 2,653,747,702.04
  5. Step 5: Solve for x
    x = 2,653,747,702.04/53,100
  6. Step 6: Final answer
    x = 49,976.42

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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.