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Finding the Fourth Proportional to 206,348.75, 309,483.76 and 64,195.79

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Solution

The fourth proportional to 206,348.75, 309,483.76 and 64,195.79 is: 96,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,348.75 : 309,483.76 = 64,195.79 : x
  2. Step 2: Convert to fraction form
    206,348.75/309,483.76 = 64,195.79/x
  3. Step 3: Cross multiply
    206,348.75x = 309,483.76 × 64,195.79
  4. Step 4: Simplify right side
    206,348.75x = 19,867,554,465.37
  5. Step 5: Solve for x
    x = 19,867,554,465.37/206,348.75
  6. Step 6: Final answer
    x = 96,281.44

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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.