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Finding the Fourth Proportional to 206,636.41, 309,658.66 and 117,706.31

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Solution

The fourth proportional to 206,636.41, 309,658.66 and 117,706.31 is: 176,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,636.41 : 309,658.66 = 117,706.31 : x
  2. Step 2: Convert to fraction form
    206,636.41/309,658.66 = 117,706.31/x
  3. Step 3: Cross multiply
    206,636.41x = 309,658.66 × 117,706.31
  4. Step 4: Simplify right side
    206,636.41x = 36,448,776,385.59
  5. Step 5: Solve for x
    x = 36,448,776,385.59/206,636.41
  6. Step 6: Final answer
    x = 176,390.87

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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.