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Finding the Fourth Proportional to 78,735.96, 108,655.97 and 50,458.05

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Solution

The fourth proportional to 78,735.96, 108,655.97 and 50,458.05 is: 69,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,735.96 : 108,655.97 = 50,458.05 : x
  2. Step 2: Convert to fraction form
    78,735.96/108,655.97 = 50,458.05/x
  3. Step 3: Cross multiply
    78,735.96x = 108,655.97 × 50,458.05
  4. Step 4: Simplify right side
    78,735.96x = 5,482,568,114.77
  5. Step 5: Solve for x
    x = 5,482,568,114.77/78,735.96
  6. Step 6: Final answer
    x = 69,632.33

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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.