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Finding the Fourth Proportional to 274,641.64, 412,021.23 and 85,097.80

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Solution

The fourth proportional to 274,641.64, 412,021.23 and 85,097.80 is: 127,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,641.64 : 412,021.23 = 85,097.80 : x
  2. Step 2: Convert to fraction form
    274,641.64/412,021.23 = 85,097.80/x
  3. Step 3: Cross multiply
    274,641.64x = 412,021.23 × 85,097.80
  4. Step 4: Simplify right side
    274,641.64x = 35,062,100,226.29
  5. Step 5: Solve for x
    x = 35,062,100,226.29/274,641.64
  6. Step 6: Final answer
    x = 127,664.91

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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.