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Finding the Fourth Proportional to 206,136.92, 309,008.54 and 65,804.42

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Solution

The fourth proportional to 206,136.92, 309,008.54 and 65,804.42 is: 98,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136.92 : 309,008.54 = 65,804.42 : x
  2. Step 2: Convert to fraction form
    206,136.92/309,008.54 = 65,804.42/x
  3. Step 3: Cross multiply
    206,136.92x = 309,008.54 × 65,804.42
  4. Step 4: Simplify right side
    206,136.92x = 20,334,125,875.68
  5. Step 5: Solve for x
    x = 20,334,125,875.68/206,136.92
  6. Step 6: Final answer
    x = 98,643.79

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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.