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Finding the Fourth Proportional to 274,751.98, 412,187.15 and 85,208.52

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Solution

The fourth proportional to 274,751.98, 412,187.15 and 85,208.52 is: 127,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,751.98 : 412,187.15 = 85,208.52 : x
  2. Step 2: Convert to fraction form
    274,751.98/412,187.15 = 85,208.52/x
  3. Step 3: Cross multiply
    274,751.98x = 412,187.15 × 85,208.52
  4. Step 4: Simplify right side
    274,751.98x = 35,121,854,527.54
  5. Step 5: Solve for x
    x = 35,121,854,527.54/274,751.98
  6. Step 6: Final answer
    x = 127,831.12

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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.