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Finding the Fourth Proportional to 78,769.84, 108,640.92 and 50,478.16

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Solution

The fourth proportional to 78,769.84, 108,640.92 and 50,478.16 is: 69,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.84 : 108,640.92 = 50,478.16 : x
  2. Step 2: Convert to fraction form
    78,769.84/108,640.92 = 50,478.16/x
  3. Step 3: Cross multiply
    78,769.84x = 108,640.92 × 50,478.16
  4. Step 4: Simplify right side
    78,769.84x = 5,483,993,742.31
  5. Step 5: Solve for x
    x = 5,483,993,742.31/78,769.84
  6. Step 6: Final answer
    x = 69,620.48

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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.