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Finding the Fourth Proportional to 205,898.24, 308,872.32 and 72,751.22

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Solution

The fourth proportional to 205,898.24, 308,872.32 and 72,751.22 is: 109,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,898.24 : 308,872.32 = 72,751.22 : x
  2. Step 2: Convert to fraction form
    205,898.24/308,872.32 = 72,751.22/x
  3. Step 3: Cross multiply
    205,898.24x = 308,872.32 × 72,751.22
  4. Step 4: Simplify right side
    205,898.24x = 22,470,838,104.23
  5. Step 5: Solve for x
    x = 22,470,838,104.23/205,898.24
  6. Step 6: Final answer
    x = 109,135.65

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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.