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Finding the Fourth Proportional to 143,222.88, 197,640.49 and 82,787.77

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Solution

The fourth proportional to 143,222.88, 197,640.49 and 82,787.77 is: 114,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,222.88 : 197,640.49 = 82,787.77 : x
  2. Step 2: Convert to fraction form
    143,222.88/197,640.49 = 82,787.77/x
  3. Step 3: Cross multiply
    143,222.88x = 197,640.49 × 82,787.77
  4. Step 4: Simplify right side
    143,222.88x = 16,362,214,026.67
  5. Step 5: Solve for x
    x = 16,362,214,026.67/143,222.88
  6. Step 6: Final answer
    x = 114,243.02

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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.