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Finding the Fourth Proportional to 206,685.30, 285,223.20 and 116,039

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Solution

The fourth proportional to 206,685.30, 285,223.20 and 116,039 is: 160,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685.30 : 285,223.20 = 116,039 : x
  2. Step 2: Convert to fraction form
    206,685.30/285,223.20 = 116,039/x
  3. Step 3: Cross multiply
    206,685.30x = 285,223.20 × 116,039
  4. Step 4: Simplify right side
    206,685.30x = 33,097,014,904.80
  5. Step 5: Solve for x
    x = 33,097,014,904.80/206,685.30
  6. Step 6: Final answer
    x = 160,132.41

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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.