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Finding the Fourth Proportional to 206,914, 285,541.62 and 117,490

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Solution

The fourth proportional to 206,914, 285,541.62 and 117,490 is: 162,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,914 : 285,541.62 = 117,490 : x
  2. Step 2: Convert to fraction form
    206,914/285,541.62 = 117,490/x
  3. Step 3: Cross multiply
    206,914x = 285,541.62 × 117,490
  4. Step 4: Simplify right side
    206,914x = 33,548,284,933.80
  5. Step 5: Solve for x
    x = 33,548,284,933.80/206,914
  6. Step 6: Final answer
    x = 162,136.37

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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.