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Finding the Fourth Proportional to 206,175.84, 309,270.24 and 98,081.60

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Solution

The fourth proportional to 206,175.84, 309,270.24 and 98,081.60 is: 147,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,175.84 : 309,270.24 = 98,081.60 : x
  2. Step 2: Convert to fraction form
    206,175.84/309,270.24 = 98,081.60/x
  3. Step 3: Cross multiply
    206,175.84x = 309,270.24 × 98,081.60
  4. Step 4: Simplify right side
    206,175.84x = 30,333,719,971.58
  5. Step 5: Solve for x
    x = 30,333,719,971.58/206,175.84
  6. Step 6: Final answer
    x = 147,125.48

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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.