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Finding the Fourth Proportional to 133,682.78, 184,413.24 and 90,647.72

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Solution

The fourth proportional to 133,682.78, 184,413.24 and 90,647.72 is: 125,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,682.78 : 184,413.24 = 90,647.72 : x
  2. Step 2: Convert to fraction form
    133,682.78/184,413.24 = 90,647.72/x
  3. Step 3: Cross multiply
    133,682.78x = 184,413.24 × 90,647.72
  4. Step 4: Simplify right side
    133,682.78x = 16,716,638,821.75
  5. Step 5: Solve for x
    x = 16,716,638,821.75/133,682.78
  6. Step 6: Final answer
    x = 125,047.06

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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.