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Finding the Fourth Proportional to 72,679.84, 109,017.60 and 20,092.48

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Solution

The fourth proportional to 72,679.84, 109,017.60 and 20,092.48 is: 30,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,679.84 : 109,017.60 = 20,092.48 : x
  2. Step 2: Convert to fraction form
    72,679.84/109,017.60 = 20,092.48/x
  3. Step 3: Cross multiply
    72,679.84x = 109,017.60 × 20,092.48
  4. Step 4: Simplify right side
    72,679.84x = 2,190,433,947.65
  5. Step 5: Solve for x
    x = 2,190,433,947.65/72,679.84
  6. Step 6: Final answer
    x = 30,138.12

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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.