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Finding the Fourth Proportional to 78,549.21, 117,818.31 and 45,164.64

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Solution

The fourth proportional to 78,549.21, 117,818.31 and 45,164.64 is: 67,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.21 : 117,818.31 = 45,164.64 : x
  2. Step 2: Convert to fraction form
    78,549.21/117,818.31 = 45,164.64/x
  3. Step 3: Cross multiply
    78,549.21x = 117,818.31 × 45,164.64
  4. Step 4: Simplify right side
    78,549.21x = 5,321,221,556.56
  5. Step 5: Solve for x
    x = 5,321,221,556.56/78,549.21
  6. Step 6: Final answer
    x = 67,743.79

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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.