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Finding the Fourth Proportional to 200,079.36, 299,785.86 and 140,790.47

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Solution

The fourth proportional to 200,079.36, 299,785.86 and 140,790.47 is: 210,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,079.36 : 299,785.86 = 140,790.47 : x
  2. Step 2: Convert to fraction form
    200,079.36/299,785.86 = 140,790.47/x
  3. Step 3: Cross multiply
    200,079.36x = 299,785.86 × 140,790.47
  4. Step 4: Simplify right side
    200,079.36x = 42,206,990,629.82
  5. Step 5: Solve for x
    x = 42,206,990,629.82/200,079.36
  6. Step 6: Final answer
    x = 210,951.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.