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Finding the Fourth Proportional to 162,731, 243,942.60 and 122,687.84

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Solution

The fourth proportional to 162,731, 243,942.60 and 122,687.84 is: 183,915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,731 : 243,942.60 = 122,687.84 : x
  2. Step 2: Convert to fraction form
    162,731/243,942.60 = 122,687.84/x
  3. Step 3: Cross multiply
    162,731x = 243,942.60 × 122,687.84
  4. Step 4: Simplify right side
    162,731x = 29,928,790,677.98
  5. Step 5: Solve for x
    x = 29,928,790,677.98/162,731
  6. Step 6: Final answer
    x = 183,915.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.