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Finding the Fourth Proportional to 203,507.15, 305,187.82 and 103,634.15

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Solution

The fourth proportional to 203,507.15, 305,187.82 and 103,634.15 is: 155,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,507.15 : 305,187.82 = 103,634.15 : x
  2. Step 2: Convert to fraction form
    203,507.15/305,187.82 = 103,634.15/x
  3. Step 3: Cross multiply
    203,507.15x = 305,187.82 × 103,634.15
  4. Step 4: Simplify right side
    203,507.15x = 31,627,880,316.05
  5. Step 5: Solve for x
    x = 31,627,880,316.05/203,507.15
  6. Step 6: Final answer
    x = 155,414.10

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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.