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Finding the Fourth Proportional to 35,989.40, 54,008.40 and 20,194.40

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Solution

The fourth proportional to 35,989.40, 54,008.40 and 20,194.40 is: 30,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.40 : 54,008.40 = 20,194.40 : x
  2. Step 2: Convert to fraction form
    35,989.40/54,008.40 = 20,194.40/x
  3. Step 3: Cross multiply
    35,989.40x = 54,008.40 × 20,194.40
  4. Step 4: Simplify right side
    35,989.40x = 1,090,667,232.96
  5. Step 5: Solve for x
    x = 1,090,667,232.96/35,989.40
  6. Step 6: Final answer
    x = 30,305.24

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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.