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Finding the Fourth Proportional to 133,413.91, 184,107.94 and 81,751.11

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Solution

The fourth proportional to 133,413.91, 184,107.94 and 81,751.11 is: 112,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,413.91 : 184,107.94 = 81,751.11 : x
  2. Step 2: Convert to fraction form
    133,413.91/184,107.94 = 81,751.11/x
  3. Step 3: Cross multiply
    133,413.91x = 184,107.94 × 81,751.11
  4. Step 4: Simplify right side
    133,413.91x = 15,051,028,336.74
  5. Step 5: Solve for x
    x = 15,051,028,336.74/133,413.91
  6. Step 6: Final answer
    x = 112,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.