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Finding the Fourth Proportional to 206,837.78, 310,084.43 and 80,448.32

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Solution

The fourth proportional to 206,837.78, 310,084.43 and 80,448.32 is: 120,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,837.78 : 310,084.43 = 80,448.32 : x
  2. Step 2: Convert to fraction form
    206,837.78/310,084.43 = 80,448.32/x
  3. Step 3: Cross multiply
    206,837.78x = 310,084.43 × 80,448.32
  4. Step 4: Simplify right side
    206,837.78x = 24,945,771,824.63
  5. Step 5: Solve for x
    x = 24,945,771,824.63/206,837.78
  6. Step 6: Final answer
    x = 120,605.49

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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.