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Finding the Fourth Proportional to 202,614.91, 279,594.57 and 111,970

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Solution

The fourth proportional to 202,614.91, 279,594.57 and 111,970 is: 154,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,614.91 : 279,594.57 = 111,970 : x
  2. Step 2: Convert to fraction form
    202,614.91/279,594.57 = 111,970/x
  3. Step 3: Cross multiply
    202,614.91x = 279,594.57 × 111,970
  4. Step 4: Simplify right side
    202,614.91x = 31,306,204,002.90
  5. Step 5: Solve for x
    x = 31,306,204,002.90/202,614.91
  6. Step 6: Final answer
    x = 154,510.86

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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.