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Finding the Fourth Proportional to 204,737.88, 306,961.32 and 78,271.50

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Solution

The fourth proportional to 204,737.88, 306,961.32 and 78,271.50 is: 117,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,737.88 : 306,961.32 = 78,271.50 : x
  2. Step 2: Convert to fraction form
    204,737.88/306,961.32 = 78,271.50/x
  3. Step 3: Cross multiply
    204,737.88x = 306,961.32 × 78,271.50
  4. Step 4: Simplify right side
    204,737.88x = 24,026,322,958.38
  5. Step 5: Solve for x
    x = 24,026,322,958.38/204,737.88
  6. Step 6: Final answer
    x = 117,351.63

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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.