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Finding the Fourth Proportional to 200,750.41, 301,142 and 100,859.05

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Solution

The fourth proportional to 200,750.41, 301,142 and 100,859.05 is: 151,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,750.41 : 301,142 = 100,859.05 : x
  2. Step 2: Convert to fraction form
    200,750.41/301,142 = 100,859.05/x
  3. Step 3: Cross multiply
    200,750.41x = 301,142 × 100,859.05
  4. Step 4: Simplify right side
    200,750.41x = 30,372,896,035.10
  5. Step 5: Solve for x
    x = 30,372,896,035.10/200,750.41
  6. Step 6: Final answer
    x = 151,296.81

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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.