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Finding the Fourth Proportional to 254,413.60, 381,620.40 and 76,902.10

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Solution

The fourth proportional to 254,413.60, 381,620.40 and 76,902.10 is: 115,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,413.60 : 381,620.40 = 76,902.10 : x
  2. Step 2: Convert to fraction form
    254,413.60/381,620.40 = 76,902.10/x
  3. Step 3: Cross multiply
    254,413.60x = 381,620.40 × 76,902.10
  4. Step 4: Simplify right side
    254,413.60x = 29,347,410,162.84
  5. Step 5: Solve for x
    x = 29,347,410,162.84/254,413.60
  6. Step 6: Final answer
    x = 115,353.15

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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.