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Finding the Fourth Proportional to 206,348.61, 309,610.40 and 112,745.01

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Solution

The fourth proportional to 206,348.61, 309,610.40 and 112,745.01 is: 169,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.61 : 309,610.40 = 112,745.01 : x
  2. Step 2: Convert to fraction form
    206,348.61/309,610.40 = 112,745.01/x
  3. Step 3: Cross multiply
    206,348.61x = 309,610.40 × 112,745.01
  4. Step 4: Simplify right side
    206,348.61x = 34,907,027,080.38
  5. Step 5: Solve for x
    x = 34,907,027,080.38/206,348.61
  6. Step 6: Final answer
    x = 169,165.31

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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.