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Finding the Fourth Proportional to 80,065.16, 120,068.94 and 27,461

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Solution

The fourth proportional to 80,065.16, 120,068.94 and 27,461 is: 41,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,065.16 : 120,068.94 = 27,461 : x
  2. Step 2: Convert to fraction form
    80,065.16/120,068.94 = 27,461/x
  3. Step 3: Cross multiply
    80,065.16x = 120,068.94 × 27,461
  4. Step 4: Simplify right side
    80,065.16x = 3,297,213,161.34
  5. Step 5: Solve for x
    x = 3,297,213,161.34/80,065.16
  6. Step 6: Final answer
    x = 41,181.62

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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.