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Finding the Fourth Proportional to 200,090.73, 276,114.90 and 109,429.05

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Solution

The fourth proportional to 200,090.73, 276,114.90 and 109,429.05 is: 151,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,090.73 : 276,114.90 = 109,429.05 : x
  2. Step 2: Convert to fraction form
    200,090.73/276,114.90 = 109,429.05/x
  3. Step 3: Cross multiply
    200,090.73x = 276,114.90 × 109,429.05
  4. Step 4: Simplify right side
    200,090.73x = 30,214,991,197.85
  5. Step 5: Solve for x
    x = 30,214,991,197.85/200,090.73
  6. Step 6: Final answer
    x = 151,006.45

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1.5x scale

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.