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Finding the Fourth Proportional to 205,756.80, 308,556.90 and 72,612.24

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Solution

The fourth proportional to 205,756.80, 308,556.90 and 72,612.24 is: 108,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.80 : 308,556.90 = 72,612.24 : x
  2. Step 2: Convert to fraction form
    205,756.80/308,556.90 = 72,612.24/x
  3. Step 3: Cross multiply
    205,756.80x = 308,556.90 × 72,612.24
  4. Step 4: Simplify right side
    205,756.80x = 22,405,007,676.46
  5. Step 5: Solve for x
    x = 22,405,007,676.46/205,756.80
  6. Step 6: Final answer
    x = 108,890.73

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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.