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Finding the Fourth Proportional to 205,881.72, 284,092.90 and 115,242.76

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Solution

The fourth proportional to 205,881.72, 284,092.90 and 115,242.76 is: 159,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.72 : 284,092.90 = 115,242.76 : x
  2. Step 2: Convert to fraction form
    205,881.72/284,092.90 = 115,242.76/x
  3. Step 3: Cross multiply
    205,881.72x = 284,092.90 × 115,242.76
  4. Step 4: Simplify right side
    205,881.72x = 32,739,649,892.40
  5. Step 5: Solve for x
    x = 32,739,649,892.40/205,881.72
  6. Step 6: Final answer
    x = 159,021.65

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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.