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Finding the Fourth Proportional to 78,296.83, 117,463.19 and 33,931.03

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Solution

The fourth proportional to 78,296.83, 117,463.19 and 33,931.03 is: 50,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296.83 : 117,463.19 = 33,931.03 : x
  2. Step 2: Convert to fraction form
    78,296.83/117,463.19 = 33,931.03/x
  3. Step 3: Cross multiply
    78,296.83x = 117,463.19 × 33,931.03
  4. Step 4: Simplify right side
    78,296.83x = 3,985,647,023.79
  5. Step 5: Solve for x
    x = 3,985,647,023.79/78,296.83
  6. Step 6: Final answer
    x = 50,904.32

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