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Finding the Fourth Proportional to 205,737.24, 308,288.34 and 138,915.48

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Solution

The fourth proportional to 205,737.24, 308,288.34 and 138,915.48 is: 208,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,737.24 : 308,288.34 = 138,915.48 : x
  2. Step 2: Convert to fraction form
    205,737.24/308,288.34 = 138,915.48/x
  3. Step 3: Cross multiply
    205,737.24x = 308,288.34 × 138,915.48
  4. Step 4: Simplify right side
    205,737.24x = 42,826,022,729.50
  5. Step 5: Solve for x
    x = 42,826,022,729.50/205,737.24
  6. Step 6: Final answer
    x = 208,158.83

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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.