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Finding the Fourth Proportional to 202,516.47, 279,474.90 and 111,874.86

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Solution

The fourth proportional to 202,516.47, 279,474.90 and 111,874.86 is: 154,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,516.47 : 279,474.90 = 111,874.86 : x
  2. Step 2: Convert to fraction form
    202,516.47/279,474.90 = 111,874.86/x
  3. Step 3: Cross multiply
    202,516.47x = 279,474.90 × 111,874.86
  4. Step 4: Simplify right side
    202,516.47x = 31,266,215,311.01
  5. Step 5: Solve for x
    x = 31,266,215,311.01/202,516.47
  6. Step 6: Final answer
    x = 154,388.51

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1.5x scale

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.