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Finding the Fourth Proportional to 207,957.70, 311,936.55 and 172,965.70

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Solution

The fourth proportional to 207,957.70, 311,936.55 and 172,965.70 is: 259,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.70 : 311,936.55 = 172,965.70 : x
  2. Step 2: Convert to fraction form
    207,957.70/311,936.55 = 172,965.70/x
  3. Step 3: Cross multiply
    207,957.70x = 311,936.55 × 172,965.70
  4. Step 4: Simplify right side
    207,957.70x = 53,954,323,726.34
  5. Step 5: Solve for x
    x = 53,954,323,726.34/207,957.70
  6. Step 6: Final answer
    x = 259,448.55

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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.