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Finding the Fourth Proportional to 205,895.76, 308,843.64 and 72,702.96

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Solution

The fourth proportional to 205,895.76, 308,843.64 and 72,702.96 is: 109,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,895.76 : 308,843.64 = 72,702.96 : x
  2. Step 2: Convert to fraction form
    205,895.76/308,843.64 = 72,702.96/x
  3. Step 3: Cross multiply
    205,895.76x = 308,843.64 × 72,702.96
  4. Step 4: Simplify right side
    205,895.76x = 22,453,846,805.17
  5. Step 5: Solve for x
    x = 22,453,846,805.17/205,895.76
  6. Step 6: Final answer
    x = 109,054.44

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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.