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Finding the Fourth Proportional to 143,238.90, 197,674.84 and 82,828.50

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Solution

The fourth proportional to 143,238.90, 197,674.84 and 82,828.50 is: 114,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,238.90 : 197,674.84 = 82,828.50 : x
  2. Step 2: Convert to fraction form
    143,238.90/197,674.84 = 82,828.50/x
  3. Step 3: Cross multiply
    143,238.90x = 197,674.84 × 82,828.50
  4. Step 4: Simplify right side
    143,238.90x = 16,373,110,484.94
  5. Step 5: Solve for x
    x = 16,373,110,484.94/143,238.90
  6. Step 6: Final answer
    x = 114,306.31

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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.