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Finding the Fourth Proportional to 206,610.30, 309,915.45 and 139,688.10

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Solution

The fourth proportional to 206,610.30, 309,915.45 and 139,688.10 is: 209,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,610.30 : 309,915.45 = 139,688.10 : x
  2. Step 2: Convert to fraction form
    206,610.30/309,915.45 = 139,688.10/x
  3. Step 3: Cross multiply
    206,610.30x = 309,915.45 × 139,688.10
  4. Step 4: Simplify right side
    206,610.30x = 43,291,500,371.15
  5. Step 5: Solve for x
    x = 43,291,500,371.15/206,610.30
  6. Step 6: Final answer
    x = 209,532.15

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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.