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Finding the Fourth Proportional to 206,348.74, 309,610.60 and 112,745.14

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Solution

The fourth proportional to 206,348.74, 309,610.60 and 112,745.14 is: 169,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.74 : 309,610.60 = 112,745.14 : x
  2. Step 2: Convert to fraction form
    206,348.74/309,610.60 = 112,745.14/x
  3. Step 3: Cross multiply
    206,348.74x = 309,610.60 × 112,745.14
  4. Step 4: Simplify right side
    206,348.74x = 34,907,090,442.48
  5. Step 5: Solve for x
    x = 34,907,090,442.48/206,348.74
  6. Step 6: Final answer
    x = 169,165.51

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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.