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Finding the Fourth Proportional to 206,027.71, 284,304.71 and 115,362.89

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Solution

The fourth proportional to 206,027.71, 284,304.71 and 115,362.89 is: 159,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,027.71 : 284,304.71 = 115,362.89 : x
  2. Step 2: Convert to fraction form
    206,027.71/284,304.71 = 115,362.89/x
  3. Step 3: Cross multiply
    206,027.71x = 284,304.71 × 115,362.89
  4. Step 4: Simplify right side
    206,027.71x = 32,798,213,120.16
  5. Step 5: Solve for x
    x = 32,798,213,120.16/206,027.71
  6. Step 6: Final answer
    x = 159,193.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.