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Finding the Fourth Proportional to 143,234.76, 197,672.22 and 82,808.76

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Solution

The fourth proportional to 143,234.76, 197,672.22 and 82,808.76 is: 114,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,234.76 : 197,672.22 = 82,808.76 : x
  2. Step 2: Convert to fraction form
    143,234.76/197,672.22 = 82,808.76/x
  3. Step 3: Cross multiply
    143,234.76x = 197,672.22 × 82,808.76
  4. Step 4: Simplify right side
    143,234.76x = 16,368,991,424.65
  5. Step 5: Solve for x
    x = 16,368,991,424.65/143,234.76
  6. Step 6: Final answer
    x = 114,280.86

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1.5x scale

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.