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Finding the Fourth Proportional to 274,694.64, 412,106.22 and 85,145.08

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Solution

The fourth proportional to 274,694.64, 412,106.22 and 85,145.08 is: 127,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,694.64 : 412,106.22 = 85,145.08 : x
  2. Step 2: Convert to fraction form
    274,694.64/412,106.22 = 85,145.08/x
  3. Step 3: Cross multiply
    274,694.64x = 412,106.22 × 85,145.08
  4. Step 4: Simplify right side
    274,694.64x = 35,088,817,070.40
  5. Step 5: Solve for x
    x = 35,088,817,070.40/274,694.64
  6. Step 6: Final answer
    x = 127,737.54

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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.