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Finding the Fourth Proportional to 206,484, 309,516.84 and 139,930.88

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Solution

The fourth proportional to 206,484, 309,516.84 and 139,930.88 is: 209,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,484 : 309,516.84 = 139,930.88 : x
  2. Step 2: Convert to fraction form
    206,484/309,516.84 = 139,930.88/x
  3. Step 3: Cross multiply
    206,484x = 309,516.84 × 139,930.88
  4. Step 4: Simplify right side
    206,484x = 43,310,963,796.02
  5. Step 5: Solve for x
    x = 43,310,963,796.02/206,484
  6. Step 6: Final answer
    x = 209,754.58

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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.