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Finding the Fourth Proportional to 206,355.07, 309,468.74 and 99,672.76

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Solution

The fourth proportional to 206,355.07, 309,468.74 and 99,672.76 is: 149,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,355.07 : 309,468.74 = 99,672.76 : x
  2. Step 2: Convert to fraction form
    206,355.07/309,468.74 = 99,672.76/x
  3. Step 3: Cross multiply
    206,355.07x = 309,468.74 × 99,672.76
  4. Step 4: Simplify right side
    206,355.07x = 30,845,603,449.52
  5. Step 5: Solve for x
    x = 30,845,603,449.52/206,355.07
  6. Step 6: Final answer
    x = 149,478.29

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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.