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Finding the Fourth Proportional to 206,042.72, 308,663.12 and 151,908.80

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Solution

The fourth proportional to 206,042.72, 308,663.12 and 151,908.80 is: 227,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,042.72 : 308,663.12 = 151,908.80 : x
  2. Step 2: Convert to fraction form
    206,042.72/308,663.12 = 151,908.80/x
  3. Step 3: Cross multiply
    206,042.72x = 308,663.12 × 151,908.80
  4. Step 4: Simplify right side
    206,042.72x = 46,888,641,860.60
  5. Step 5: Solve for x
    x = 46,888,641,860.60/206,042.72
  6. Step 6: Final answer
    x = 227,567.58

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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.