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Finding the Fourth Proportional to 206,136.23, 309,248.48 and 63,978.53

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Solution

The fourth proportional to 206,136.23, 309,248.48 and 63,978.53 is: 95,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136.23 : 309,248.48 = 63,978.53 : x
  2. Step 2: Convert to fraction form
    206,136.23/309,248.48 = 63,978.53/x
  3. Step 3: Cross multiply
    206,136.23x = 309,248.48 × 63,978.53
  4. Step 4: Simplify right side
    206,136.23x = 19,785,261,768.84
  5. Step 5: Solve for x
    x = 19,785,261,768.84/206,136.23
  6. Step 6: Final answer
    x = 95,981.49

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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.