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Finding the Fourth Proportional to 205,963.65, 308,572.47 and 172,896.21

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Solution

The fourth proportional to 205,963.65, 308,572.47 and 172,896.21 is: 259,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,963.65 : 308,572.47 = 172,896.21 : x
  2. Step 2: Convert to fraction form
    205,963.65/308,572.47 = 172,896.21/x
  3. Step 3: Cross multiply
    205,963.65x = 308,572.47 × 172,896.21
  4. Step 4: Simplify right side
    205,963.65x = 53,351,010,573.34
  5. Step 5: Solve for x
    x = 53,351,010,573.34/205,963.65
  6. Step 6: Final answer
    x = 259,031.20

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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.