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Finding the Fourth Proportional to 78,649.56, 117,973.08 and 28,729.44

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Solution

The fourth proportional to 78,649.56, 117,973.08 and 28,729.44 is: 43,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.56 : 117,973.08 = 28,729.44 : x
  2. Step 2: Convert to fraction form
    78,649.56/117,973.08 = 28,729.44/x
  3. Step 3: Cross multiply
    78,649.56x = 117,973.08 × 28,729.44
  4. Step 4: Simplify right side
    78,649.56x = 3,389,300,523.48
  5. Step 5: Solve for x
    x = 3,389,300,523.48/78,649.56
  6. Step 6: Final answer
    x = 43,093.70

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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.