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Finding the Fourth Proportional to 78,391.70, 108,139.08 and 49,660.68

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Solution

The fourth proportional to 78,391.70, 108,139.08 and 49,660.68 is: 68,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.70 : 108,139.08 = 49,660.68 : x
  2. Step 2: Convert to fraction form
    78,391.70/108,139.08 = 49,660.68/x
  3. Step 3: Cross multiply
    78,391.70x = 108,139.08 × 49,660.68
  4. Step 4: Simplify right side
    78,391.70x = 5,370,260,247.37
  5. Step 5: Solve for x
    x = 5,370,260,247.37/78,391.70
  6. Step 6: Final answer
    x = 68,505.47

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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.