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Finding the Fourth Proportional to 76,965.84, 115,448.76 and 35,413.20

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Solution

The fourth proportional to 76,965.84, 115,448.76 and 35,413.20 is: 53,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.84 : 115,448.76 = 35,413.20 : x
  2. Step 2: Convert to fraction form
    76,965.84/115,448.76 = 35,413.20/x
  3. Step 3: Cross multiply
    76,965.84x = 115,448.76 × 35,413.20
  4. Step 4: Simplify right side
    76,965.84x = 4,088,410,027.63
  5. Step 5: Solve for x
    x = 4,088,410,027.63/76,965.84
  6. Step 6: Final answer
    x = 53,119.80

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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.