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Finding the Fourth Proportional to 207,245.83, 285,997.22 and 115,363.65

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Solution

The fourth proportional to 207,245.83, 285,997.22 and 115,363.65 is: 159,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,245.83 : 285,997.22 = 115,363.65 : x
  2. Step 2: Convert to fraction form
    207,245.83/285,997.22 = 115,363.65/x
  3. Step 3: Cross multiply
    207,245.83x = 285,997.22 × 115,363.65
  4. Step 4: Simplify right side
    207,245.83x = 32,993,684,117.34
  5. Step 5: Solve for x
    x = 32,993,684,117.34/207,245.83
  6. Step 6: Final answer
    x = 159,200.72

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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.