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Finding the Fourth Proportional to 206,782.56, 285,339.78 and 116,117.91

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Solution

The fourth proportional to 206,782.56, 285,339.78 and 116,117.91 is: 160,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.56 : 285,339.78 = 116,117.91 : x
  2. Step 2: Convert to fraction form
    206,782.56/285,339.78 = 116,117.91/x
  3. Step 3: Cross multiply
    206,782.56x = 285,339.78 × 116,117.91
  4. Step 4: Simplify right side
    206,782.56x = 33,133,058,893.46
  5. Step 5: Solve for x
    x = 33,133,058,893.46/206,782.56
  6. Step 6: Final answer
    x = 160,231.40

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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.