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Finding the Fourth Proportional to 78,530, 117,832.80 and 39,090.56

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Solution

The fourth proportional to 78,530, 117,832.80 and 39,090.56 is: 58,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,530 : 117,832.80 = 39,090.56 : x
  2. Step 2: Convert to fraction form
    78,530/117,832.80 = 39,090.56/x
  3. Step 3: Cross multiply
    78,530x = 117,832.80 × 39,090.56
  4. Step 4: Simplify right side
    78,530x = 4,606,150,138.37
  5. Step 5: Solve for x
    x = 4,606,150,138.37/78,530
  6. Step 6: Final answer
    x = 58,654.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.