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Finding the Fourth Proportional to 202,816.68, 279,885.24 and 112,179.28

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Solution

The fourth proportional to 202,816.68, 279,885.24 and 112,179.28 is: 154,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.68 : 279,885.24 = 112,179.28 : x
  2. Step 2: Convert to fraction form
    202,816.68/279,885.24 = 112,179.28/x
  3. Step 3: Cross multiply
    202,816.68x = 279,885.24 × 112,179.28
  4. Step 4: Simplify right side
    202,816.68x = 31,397,324,705.83
  5. Step 5: Solve for x
    x = 31,397,324,705.83/202,816.68
  6. Step 6: Final answer
    x = 154,806.42

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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.