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Finding the Fourth Proportional to 77,235.94, 115,865.77 and 32,850.78

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Solution

The fourth proportional to 77,235.94, 115,865.77 and 32,850.78 is: 49,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,235.94 : 115,865.77 = 32,850.78 : x
  2. Step 2: Convert to fraction form
    77,235.94/115,865.77 = 32,850.78/x
  3. Step 3: Cross multiply
    77,235.94x = 115,865.77 × 32,850.78
  4. Step 4: Simplify right side
    77,235.94x = 3,806,280,919.80
  5. Step 5: Solve for x
    x = 3,806,280,919.80/77,235.94
  6. Step 6: Final answer
    x = 49,281.21

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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.