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Finding the Fourth Proportional to 206,259.96, 284,656.16 and 115,614.48

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Solution

The fourth proportional to 206,259.96, 284,656.16 and 115,614.48 is: 159,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,259.96 : 284,656.16 = 115,614.48 : x
  2. Step 2: Convert to fraction form
    206,259.96/284,656.16 = 115,614.48/x
  3. Step 3: Cross multiply
    206,259.96x = 284,656.16 × 115,614.48
  4. Step 4: Simplify right side
    206,259.96x = 32,910,373,917.20
  5. Step 5: Solve for x
    x = 32,910,373,917.20/206,259.96
  6. Step 6: Final answer
    x = 159,557.74

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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.