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Finding the Fourth Proportional to 206,156.93, 308,971.13 and 179,391.69

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Solution

The fourth proportional to 206,156.93, 308,971.13 and 179,391.69 is: 268,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156.93 : 308,971.13 = 179,391.69 : x
  2. Step 2: Convert to fraction form
    206,156.93/308,971.13 = 179,391.69/x
  3. Step 3: Cross multiply
    206,156.93x = 308,971.13 × 179,391.69
  4. Step 4: Simplify right side
    206,156.93x = 55,426,852,274.95
  5. Step 5: Solve for x
    x = 55,426,852,274.95/206,156.93
  6. Step 6: Final answer
    x = 268,857.58

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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.