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Finding the Fourth Proportional to 185,635.73, 278,408.94 and 85,699.97

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Solution

The fourth proportional to 185,635.73, 278,408.94 and 85,699.97 is: 128,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,635.73 : 278,408.94 = 85,699.97 : x
  2. Step 2: Convert to fraction form
    185,635.73/278,408.94 = 85,699.97/x
  3. Step 3: Cross multiply
    185,635.73x = 278,408.94 × 85,699.97
  4. Step 4: Simplify right side
    185,635.73x = 23,859,636,413.69
  5. Step 5: Solve for x
    x = 23,859,636,413.69/185,635.73
  6. Step 6: Final answer
    x = 128,529.34

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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.