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Finding the Fourth Proportional to 206,634.96, 309,557.16 and 139,746.48

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Solution

The fourth proportional to 206,634.96, 309,557.16 and 139,746.48 is: 209,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634.96 : 309,557.16 = 139,746.48 : x
  2. Step 2: Convert to fraction form
    206,634.96/309,557.16 = 139,746.48/x
  3. Step 3: Cross multiply
    206,634.96x = 309,557.16 × 139,746.48
  4. Step 4: Simplify right side
    206,634.96x = 43,259,523,468.80
  5. Step 5: Solve for x
    x = 43,259,523,468.80/206,634.96
  6. Step 6: Final answer
    x = 209,352.39

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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.