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Finding the Fourth Proportional to 202,705.91, 279,704.43 and 115,491.86

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Solution

The fourth proportional to 202,705.91, 279,704.43 and 115,491.86 is: 159,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705.91 : 279,704.43 = 115,491.86 : x
  2. Step 2: Convert to fraction form
    202,705.91/279,704.43 = 115,491.86/x
  3. Step 3: Cross multiply
    202,705.91x = 279,704.43 × 115,491.86
  4. Step 4: Simplify right side
    202,705.91x = 32,303,583,472.42
  5. Step 5: Solve for x
    x = 32,303,583,472.42/202,705.91
  6. Step 6: Final answer
    x = 159,361.83

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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.