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Finding the Fourth Proportional to 147,820.94, 203,993.81 and 80,752.94

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Solution

The fourth proportional to 147,820.94, 203,993.81 and 80,752.94 is: 111,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,820.94 : 203,993.81 = 80,752.94 : x
  2. Step 2: Convert to fraction form
    147,820.94/203,993.81 = 80,752.94/x
  3. Step 3: Cross multiply
    147,820.94x = 203,993.81 × 80,752.94
  4. Step 4: Simplify right side
    147,820.94x = 16,473,099,899.30
  5. Step 5: Solve for x
    x = 16,473,099,899.30/147,820.94
  6. Step 6: Final answer
    x = 111,439.56

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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.