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Finding the Fourth Proportional to 206,406.16, 309,747.32 and 75,078.16

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Solution

The fourth proportional to 206,406.16, 309,747.32 and 75,078.16 is: 112,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.16 : 309,747.32 = 75,078.16 : x
  2. Step 2: Convert to fraction form
    206,406.16/309,747.32 = 75,078.16/x
  3. Step 3: Cross multiply
    206,406.16x = 309,747.32 × 75,078.16
  4. Step 4: Simplify right side
    206,406.16x = 23,255,258,850.53
  5. Step 5: Solve for x
    x = 23,255,258,850.53/206,406.16
  6. Step 6: Final answer
    x = 112,667.47

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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.