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Finding the Fourth Proportional to 147,813, 203,981.94 and 80,745

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Solution

The fourth proportional to 147,813, 203,981.94 and 80,745 is: 111,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813 : 203,981.94 = 80,745 : x
  2. Step 2: Convert to fraction form
    147,813/203,981.94 = 80,745/x
  3. Step 3: Cross multiply
    147,813x = 203,981.94 × 80,745
  4. Step 4: Simplify right side
    147,813x = 16,470,521,745.30
  5. Step 5: Solve for x
    x = 16,470,521,745.30/147,813
  6. Step 6: Final answer
    x = 111,428.10

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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.