Home / 206,380.26-284,822.01-115,734.78

Finding the Fourth Proportional to 206,380.26, 284,822.01 and 115,734.78

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Solution

The fourth proportional to 206,380.26, 284,822.01 and 115,734.78 is: 159,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,380.26 : 284,822.01 = 115,734.78 : x
  2. Step 2: Convert to fraction form
    206,380.26/284,822.01 = 115,734.78/x
  3. Step 3: Cross multiply
    206,380.26x = 284,822.01 × 115,734.78
  4. Step 4: Simplify right side
    206,380.26x = 32,963,812,666.51
  5. Step 5: Solve for x
    x = 32,963,812,666.51/206,380.26
  6. Step 6: Final answer
    x = 159,723.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.