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Finding the Fourth Proportional to 162,396.77, 243,589.68 and 57,213

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Solution

The fourth proportional to 162,396.77, 243,589.68 and 57,213 is: 85,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,396.77 : 243,589.68 = 57,213 : x
  2. Step 2: Convert to fraction form
    162,396.77/243,589.68 = 57,213/x
  3. Step 3: Cross multiply
    162,396.77x = 243,589.68 × 57,213
  4. Step 4: Simplify right side
    162,396.77x = 13,936,496,361.84
  5. Step 5: Solve for x
    x = 13,936,496,361.84/162,396.77
  6. Step 6: Final answer
    x = 85,817.57

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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.