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Finding the Fourth Proportional to 147,813.86, 203,982.81 and 80,745.86

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Solution

The fourth proportional to 147,813.86, 203,982.81 and 80,745.86 is: 111,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813.86 : 203,982.81 = 80,745.86 : x
  2. Step 2: Convert to fraction form
    147,813.86/203,982.81 = 80,745.86/x
  3. Step 3: Cross multiply
    147,813.86x = 203,982.81 × 80,745.86
  4. Step 4: Simplify right side
    147,813.86x = 16,470,767,418.67
  5. Step 5: Solve for x
    x = 16,470,767,418.67/147,813.86
  6. Step 6: Final answer
    x = 111,429.11

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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.