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Finding the Fourth Proportional to 200,433.90, 276,602.74 and 109,789.86

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Solution

The fourth proportional to 200,433.90, 276,602.74 and 109,789.86 is: 151,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.90 : 276,602.74 = 109,789.86 : x
  2. Step 2: Convert to fraction form
    200,433.90/276,602.74 = 109,789.86/x
  3. Step 3: Cross multiply
    200,433.90x = 276,602.74 × 109,789.86
  4. Step 4: Simplify right side
    200,433.90x = 30,368,176,100.22
  5. Step 5: Solve for x
    x = 30,368,176,100.22/200,433.90
  6. Step 6: Final answer
    x = 151,512.17

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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.