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Finding the Fourth Proportional to 206,782.72, 285,359.16 and 116,138.68

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Solution

The fourth proportional to 206,782.72, 285,359.16 and 116,138.68 is: 160,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.72 : 285,359.16 = 116,138.68 : x
  2. Step 2: Convert to fraction form
    206,782.72/285,359.16 = 116,138.68/x
  3. Step 3: Cross multiply
    206,782.72x = 285,359.16 × 116,138.68
  4. Step 4: Simplify right side
    206,782.72x = 33,141,236,168.31
  5. Step 5: Solve for x
    x = 33,141,236,168.31/206,782.72
  6. Step 6: Final answer
    x = 160,270.82

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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.