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Finding the Fourth Proportional to 209,213.52, 313,579.70 and 96,657.28

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Solution

The fourth proportional to 209,213.52, 313,579.70 and 96,657.28 is: 144,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.52 : 313,579.70 = 96,657.28 : x
  2. Step 2: Convert to fraction form
    209,213.52/313,579.70 = 96,657.28/x
  3. Step 3: Cross multiply
    209,213.52x = 313,579.70 × 96,657.28
  4. Step 4: Simplify right side
    209,213.52x = 30,309,760,381.93
  5. Step 5: Solve for x
    x = 30,309,760,381.93/209,213.52
  6. Step 6: Final answer
    x = 144,874.77

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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.