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Finding the Fourth Proportional to 206,467.84, 309,643.44 and 80,099.20

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Solution

The fourth proportional to 206,467.84, 309,643.44 and 80,099.20 is: 120,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.84 : 309,643.44 = 80,099.20 : x
  2. Step 2: Convert to fraction form
    206,467.84/309,643.44 = 80,099.20/x
  3. Step 3: Cross multiply
    206,467.84x = 309,643.44 × 80,099.20
  4. Step 4: Simplify right side
    206,467.84x = 24,802,191,829.25
  5. Step 5: Solve for x
    x = 24,802,191,829.25/206,467.84
  6. Step 6: Final answer
    x = 120,126.17

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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.