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Finding the Fourth Proportional to 206,106.50, 309,203.85 and 63,948.71

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Solution

The fourth proportional to 206,106.50, 309,203.85 and 63,948.71 is: 95,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,106.50 : 309,203.85 = 63,948.71 : x
  2. Step 2: Convert to fraction form
    206,106.50/309,203.85 = 63,948.71/x
  3. Step 3: Cross multiply
    206,106.50x = 309,203.85 × 63,948.71
  4. Step 4: Simplify right side
    206,106.50x = 19,773,187,334.53
  5. Step 5: Solve for x
    x = 19,773,187,334.53/206,106.50
  6. Step 6: Final answer
    x = 95,936.75

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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.