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Finding the Fourth Proportional to 78,166.80, 117,163.80 and 43,131.60

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Solution

The fourth proportional to 78,166.80, 117,163.80 and 43,131.60 is: 64,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.80 : 117,163.80 = 43,131.60 : x
  2. Step 2: Convert to fraction form
    78,166.80/117,163.80 = 43,131.60/x
  3. Step 3: Cross multiply
    78,166.80x = 117,163.80 × 43,131.60
  4. Step 4: Simplify right side
    78,166.80x = 5,053,462,156.08
  5. Step 5: Solve for x
    x = 5,053,462,156.08/78,166.80
  6. Step 6: Final answer
    x = 64,649.73

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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.