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Finding the Fourth Proportional to 78,722.56, 108,639.34 and 48,100.64

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Solution

The fourth proportional to 78,722.56, 108,639.34 and 48,100.64 is: 66,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,722.56 : 108,639.34 = 48,100.64 : x
  2. Step 2: Convert to fraction form
    78,722.56/108,639.34 = 48,100.64/x
  3. Step 3: Cross multiply
    78,722.56x = 108,639.34 × 48,100.64
  4. Step 4: Simplify right side
    78,722.56x = 5,225,621,187.37
  5. Step 5: Solve for x
    x = 5,225,621,187.37/78,722.56
  6. Step 6: Final answer
    x = 66,380.22

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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.