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Finding the Fourth Proportional to 49,771.86, 68,772.54 and 39,782.67

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Solution

The fourth proportional to 49,771.86, 68,772.54 and 39,782.67 is: 54,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,771.86 : 68,772.54 = 39,782.67 : x
  2. Step 2: Convert to fraction form
    49,771.86/68,772.54 = 39,782.67/x
  3. Step 3: Cross multiply
    49,771.86x = 68,772.54 × 39,782.67
  4. Step 4: Simplify right side
    49,771.86x = 2,735,955,263.88
  5. Step 5: Solve for x
    x = 2,735,955,263.88/49,771.86
  6. Step 6: Final answer
    x = 54,969.92

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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.