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Finding the Fourth Proportional to 202,960.14, 280,079.28 and 112,319.88

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Solution

The fourth proportional to 202,960.14, 280,079.28 and 112,319.88 is: 154,998.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.14 : 280,079.28 = 112,319.88 : x
  2. Step 2: Convert to fraction form
    202,960.14/280,079.28 = 112,319.88/x
  3. Step 3: Cross multiply
    202,960.14x = 280,079.28 × 112,319.88
  4. Step 4: Simplify right side
    202,960.14x = 31,458,471,120.09
  5. Step 5: Solve for x
    x = 31,458,471,120.09/202,960.14
  6. Step 6: Final answer
    x = 154,998.27

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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.