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Finding the Fourth Proportional to 205,876.38, 308,913.03 and 115,990.68

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Solution

The fourth proportional to 205,876.38, 308,913.03 and 115,990.68 is: 174,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.38 : 308,913.03 = 115,990.68 : x
  2. Step 2: Convert to fraction form
    205,876.38/308,913.03 = 115,990.68/x
  3. Step 3: Cross multiply
    205,876.38x = 308,913.03 × 115,990.68
  4. Step 4: Simplify right side
    205,876.38x = 35,831,032,410.56
  5. Step 5: Solve for x
    x = 35,831,032,410.56/205,876.38
  6. Step 6: Final answer
    x = 174,041.49

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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.