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Finding the Fourth Proportional to 274,738.71, 412,167.25 and 85,195.27

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Solution

The fourth proportional to 274,738.71, 412,167.25 and 85,195.27 is: 127,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,738.71 : 412,167.25 = 85,195.27 : x
  2. Step 2: Convert to fraction form
    274,738.71/412,167.25 = 85,195.27/x
  3. Step 3: Cross multiply
    274,738.71x = 412,167.25 × 85,195.27
  4. Step 4: Simplify right side
    274,738.71x = 35,114,698,088.07
  5. Step 5: Solve for x
    x = 35,114,698,088.07/274,738.71
  6. Step 6: Final answer
    x = 127,811.25

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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.