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Finding the Fourth Proportional to 203,512.65, 305,196.07 and 103,639.65

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Solution

The fourth proportional to 203,512.65, 305,196.07 and 103,639.65 is: 155,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512.65 : 305,196.07 = 103,639.65 : x
  2. Step 2: Convert to fraction form
    203,512.65/305,196.07 = 103,639.65/x
  3. Step 3: Cross multiply
    203,512.65x = 305,196.07 × 103,639.65
  4. Step 4: Simplify right side
    203,512.65x = 31,630,413,876.18
  5. Step 5: Solve for x
    x = 31,630,413,876.18/203,512.65
  6. Step 6: Final answer
    x = 155,422.35

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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.