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Finding the Fourth Proportional to 207,832.09, 311,790.36 and 65,699.57

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Solution

The fourth proportional to 207,832.09, 311,790.36 and 65,699.57 is: 98,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,832.09 : 311,790.36 = 65,699.57 : x
  2. Step 2: Convert to fraction form
    207,832.09/311,790.36 = 65,699.57/x
  3. Step 3: Cross multiply
    207,832.09x = 311,790.36 × 65,699.57
  4. Step 4: Simplify right side
    207,832.09x = 20,484,492,582.15
  5. Step 5: Solve for x
    x = 20,484,492,582.15/207,832.09
  6. Step 6: Final answer
    x = 98,562.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.