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Finding the Fourth Proportional to 204,911.91, 307,318.25 and 105,020.69

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Solution

The fourth proportional to 204,911.91, 307,318.25 and 105,020.69 is: 157,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,911.91 : 307,318.25 = 105,020.69 : x
  2. Step 2: Convert to fraction form
    204,911.91/307,318.25 = 105,020.69/x
  3. Step 3: Cross multiply
    204,911.91x = 307,318.25 × 105,020.69
  4. Step 4: Simplify right side
    204,911.91x = 32,274,773,390.55
  5. Step 5: Solve for x
    x = 32,274,773,390.55/204,911.91
  6. Step 6: Final answer
    x = 157,505.60

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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.