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Finding the Fourth Proportional to 209,090.57, 313,524.68 and 82,725.71

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Solution

The fourth proportional to 209,090.57, 313,524.68 and 82,725.71 is: 124,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,090.57 : 313,524.68 = 82,725.71 : x
  2. Step 2: Convert to fraction form
    209,090.57/313,524.68 = 82,725.71/x
  3. Step 3: Cross multiply
    209,090.57x = 313,524.68 × 82,725.71
  4. Step 4: Simplify right side
    209,090.57x = 25,936,549,774.27
  5. Step 5: Solve for x
    x = 25,936,549,774.27/209,090.57
  6. Step 6: Final answer
    x = 124,044.57

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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.