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Finding the Fourth Proportional to 72,787.98, 109,181.36 and 20,197.47

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Solution

The fourth proportional to 72,787.98, 109,181.36 and 20,197.47 is: 30,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,787.98 : 109,181.36 = 20,197.47 : x
  2. Step 2: Convert to fraction form
    72,787.98/109,181.36 = 20,197.47/x
  3. Step 3: Cross multiply
    72,787.98x = 109,181.36 × 20,197.47
  4. Step 4: Simplify right side
    72,787.98x = 2,205,187,142.17
  5. Step 5: Solve for x
    x = 2,205,187,142.17/72,787.98
  6. Step 6: Final answer
    x = 30,296.03

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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.