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Finding the Fourth Proportional to 206,626.55, 309,644.15 and 117,696.47

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Solution

The fourth proportional to 206,626.55, 309,644.15 and 117,696.47 is: 176,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,626.55 : 309,644.15 = 117,696.47 : x
  2. Step 2: Convert to fraction form
    206,626.55/309,644.15 = 117,696.47/x
  3. Step 3: Cross multiply
    206,626.55x = 309,644.15 × 117,696.47
  4. Step 4: Simplify right side
    206,626.55x = 36,444,021,274.45
  5. Step 5: Solve for x
    x = 36,444,021,274.45/206,626.55
  6. Step 6: Final answer
    x = 176,376.28

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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.