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Finding the Fourth Proportional to 274,710.41, 412,081.19 and 85,197.71

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Solution

The fourth proportional to 274,710.41, 412,081.19 and 85,197.71 is: 127,801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710.41 : 412,081.19 = 85,197.71 : x
  2. Step 2: Convert to fraction form
    274,710.41/412,081.19 = 85,197.71/x
  3. Step 3: Cross multiply
    274,710.41x = 412,081.19 × 85,197.71
  4. Step 4: Simplify right side
    274,710.41x = 35,108,371,235.68
  5. Step 5: Solve for x
    x = 35,108,371,235.68/274,710.41
  6. Step 6: Final answer
    x = 127,801.39

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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.