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Finding the Fourth Proportional to 206,071.68, 308,600.64 and 100,550.40

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Solution

The fourth proportional to 206,071.68, 308,600.64 and 100,550.40 is: 150,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,071.68 : 308,600.64 = 100,550.40 : x
  2. Step 2: Convert to fraction form
    206,071.68/308,600.64 = 100,550.40/x
  3. Step 3: Cross multiply
    206,071.68x = 308,600.64 × 100,550.40
  4. Step 4: Simplify right side
    206,071.68x = 31,029,917,792.26
  5. Step 5: Solve for x
    x = 31,029,917,792.26/206,071.68
  6. Step 6: Final answer
    x = 150,578.27

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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.