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Finding the Fourth Proportional to 206,111.72, 309,211.72 and 63,953.90

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Solution

The fourth proportional to 206,111.72, 309,211.72 and 63,953.90 is: 95,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,111.72 : 309,211.72 = 63,953.90 : x
  2. Step 2: Convert to fraction form
    206,111.72/309,211.72 = 63,953.90/x
  3. Step 3: Cross multiply
    206,111.72x = 309,211.72 × 63,953.90
  4. Step 4: Simplify right side
    206,111.72x = 19,775,295,419.71
  5. Step 5: Solve for x
    x = 19,775,295,419.71/206,111.72
  6. Step 6: Final answer
    x = 95,944.55

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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.