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Finding the Fourth Proportional to 202,285.98, 278,996.87 and 129,695.81

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Solution

The fourth proportional to 202,285.98, 278,996.87 and 129,695.81 is: 178,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285.98 : 278,996.87 = 129,695.81 : x
  2. Step 2: Convert to fraction form
    202,285.98/278,996.87 = 129,695.81/x
  3. Step 3: Cross multiply
    202,285.98x = 278,996.87 × 129,695.81
  4. Step 4: Simplify right side
    202,285.98x = 36,184,722,998.65
  5. Step 5: Solve for x
    x = 36,184,722,998.65/202,285.98
  6. Step 6: Final answer
    x = 178,879.05

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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.