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Finding the Fourth Proportional to 206,214.72, 309,256.20 and 65,940

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Solution

The fourth proportional to 206,214.72, 309,256.20 and 65,940 is: 98,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,214.72 : 309,256.20 = 65,940 : x
  2. Step 2: Convert to fraction form
    206,214.72/309,256.20 = 65,940/x
  3. Step 3: Cross multiply
    206,214.72x = 309,256.20 × 65,940
  4. Step 4: Simplify right side
    206,214.72x = 20,392,353,828
  5. Step 5: Solve for x
    x = 20,392,353,828/206,214.72
  6. Step 6: Final answer
    x = 98,888.93

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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.