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Finding the Fourth Proportional to 206,968, 285,616.20 and 117,544

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Solution

The fourth proportional to 206,968, 285,616.20 and 117,544 is: 162,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968 : 285,616.20 = 117,544 : x
  2. Step 2: Convert to fraction form
    206,968/285,616.20 = 117,544/x
  3. Step 3: Cross multiply
    206,968x = 285,616.20 × 117,544
  4. Step 4: Simplify right side
    206,968x = 33,572,470,612.80
  5. Step 5: Solve for x
    x = 33,572,470,612.80/206,968
  6. Step 6: Final answer
    x = 162,210.92

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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.