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Finding the Fourth Proportional to 78,458.78, 108,284.96 and 47,849.64

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Solution

The fourth proportional to 78,458.78, 108,284.96 and 47,849.64 is: 66,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.78 : 108,284.96 = 47,849.64 : x
  2. Step 2: Convert to fraction form
    78,458.78/108,284.96 = 47,849.64/x
  3. Step 3: Cross multiply
    78,458.78x = 108,284.96 × 47,849.64
  4. Step 4: Simplify right side
    78,458.78x = 5,181,396,353.41
  5. Step 5: Solve for x
    x = 5,181,396,353.41/78,458.78
  6. Step 6: Final answer
    x = 66,039.73

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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.