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Finding the Fourth Proportional to 274,114.72, 411,068.40 and 107,812

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Solution

The fourth proportional to 274,114.72, 411,068.40 and 107,812 is: 161,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.72 : 411,068.40 = 107,812 : x
  2. Step 2: Convert to fraction form
    274,114.72/411,068.40 = 107,812/x
  3. Step 3: Cross multiply
    274,114.72x = 411,068.40 × 107,812
  4. Step 4: Simplify right side
    274,114.72x = 44,318,106,340.80
  5. Step 5: Solve for x
    x = 44,318,106,340.80/274,114.72
  6. Step 6: Final answer
    x = 161,677.22

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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.