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Finding the Fourth Proportional to 139,809.46, 192,956.10 and 82,464.98

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Solution

The fourth proportional to 139,809.46, 192,956.10 and 82,464.98 is: 113,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,809.46 : 192,956.10 = 82,464.98 : x
  2. Step 2: Convert to fraction form
    139,809.46/192,956.10 = 82,464.98/x
  3. Step 3: Cross multiply
    139,809.46x = 192,956.10 × 82,464.98
  4. Step 4: Simplify right side
    139,809.46x = 15,912,120,927.38
  5. Step 5: Solve for x
    x = 15,912,120,927.38/139,809.46
  6. Step 6: Final answer
    x = 113,812.91

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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.