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Finding the Fourth Proportional to 205,846.80, 308,770.20 and 172,021.20

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Solution

The fourth proportional to 205,846.80, 308,770.20 and 172,021.20 is: 258,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.80 : 308,770.20 = 172,021.20 : x
  2. Step 2: Convert to fraction form
    205,846.80/308,770.20 = 172,021.20/x
  3. Step 3: Cross multiply
    205,846.80x = 308,770.20 × 172,021.20
  4. Step 4: Simplify right side
    205,846.80x = 53,115,020,328.24
  5. Step 5: Solve for x
    x = 53,115,020,328.24/205,846.80
  6. Step 6: Final answer
    x = 258,031.80

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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.