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Finding the Fourth Proportional to 78,446.28, 117,669.24 and 34,067.28

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Solution

The fourth proportional to 78,446.28, 117,669.24 and 34,067.28 is: 51,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446.28 : 117,669.24 = 34,067.28 : x
  2. Step 2: Convert to fraction form
    78,446.28/117,669.24 = 34,067.28/x
  3. Step 3: Cross multiply
    78,446.28x = 117,669.24 × 34,067.28
  4. Step 4: Simplify right side
    78,446.28x = 4,008,670,946.47
  5. Step 5: Solve for x
    x = 4,008,670,946.47/78,446.28
  6. Step 6: Final answer
    x = 51,100.84

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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.