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Finding the Fourth Proportional to 202,357.79, 279,246.41 and 111,711.80

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Solution

The fourth proportional to 202,357.79, 279,246.41 and 111,711.80 is: 154,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357.79 : 279,246.41 = 111,711.80 : x
  2. Step 2: Convert to fraction form
    202,357.79/279,246.41 = 111,711.80/x
  3. Step 3: Cross multiply
    202,357.79x = 279,246.41 × 111,711.80
  4. Step 4: Simplify right side
    202,357.79x = 31,195,117,149.85
  5. Step 5: Solve for x
    x = 31,195,117,149.85/202,357.79
  6. Step 6: Final answer
    x = 154,158.23

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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.