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Finding the Fourth Proportional to 78,912.70, 108,786.24 and 48,677.64

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Solution

The fourth proportional to 78,912.70, 108,786.24 and 48,677.64 is: 67,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912.70 : 108,786.24 = 48,677.64 : x
  2. Step 2: Convert to fraction form
    78,912.70/108,786.24 = 48,677.64/x
  3. Step 3: Cross multiply
    78,912.70x = 108,786.24 × 48,677.64
  4. Step 4: Simplify right side
    78,912.70x = 5,295,457,427.67
  5. Step 5: Solve for x
    x = 5,295,457,427.67/78,912.70
  6. Step 6: Final answer
    x = 67,105.26

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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.