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Finding the Fourth Proportional to 206,187.66, 309,123.72 and 142,825.68

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Solution

The fourth proportional to 206,187.66, 309,123.72 and 142,825.68 is: 214,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.66 : 309,123.72 = 142,825.68 : x
  2. Step 2: Convert to fraction form
    206,187.66/309,123.72 = 142,825.68/x
  3. Step 3: Cross multiply
    206,187.66x = 309,123.72 × 142,825.68
  4. Step 4: Simplify right side
    206,187.66x = 44,150,805,513.13
  5. Step 5: Solve for x
    x = 44,150,805,513.13/206,187.66
  6. Step 6: Final answer
    x = 214,129.23

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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.