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Finding the Fourth Proportional to 200,393.78, 276,543.42 and 109,749.96

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Solution

The fourth proportional to 200,393.78, 276,543.42 and 109,749.96 is: 151,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,393.78 : 276,543.42 = 109,749.96 : x
  2. Step 2: Convert to fraction form
    200,393.78/276,543.42 = 109,749.96/x
  3. Step 3: Cross multiply
    200,393.78x = 276,543.42 × 109,749.96
  4. Step 4: Simplify right side
    200,393.78x = 30,350,628,871.70
  5. Step 5: Solve for x
    x = 30,350,628,871.70/200,393.78
  6. Step 6: Final answer
    x = 151,454.94

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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.