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Finding the Fourth Proportional to 206,424.80, 309,637.20 and 117,851.30

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Solution

The fourth proportional to 206,424.80, 309,637.20 and 117,851.30 is: 176,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424.80 : 309,637.20 = 117,851.30 : x
  2. Step 2: Convert to fraction form
    206,424.80/309,637.20 = 117,851.30/x
  3. Step 3: Cross multiply
    206,424.80x = 309,637.20 × 117,851.30
  4. Step 4: Simplify right side
    206,424.80x = 36,491,146,548.36
  5. Step 5: Solve for x
    x = 36,491,146,548.36/206,424.80
  6. Step 6: Final answer
    x = 176,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.