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Finding the Fourth Proportional to 78,296.64, 117,334.56 and 60,684

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Solution

The fourth proportional to 78,296.64, 117,334.56 and 60,684 is: 90,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296.64 : 117,334.56 = 60,684 : x
  2. Step 2: Convert to fraction form
    78,296.64/117,334.56 = 60,684/x
  3. Step 3: Cross multiply
    78,296.64x = 117,334.56 × 60,684
  4. Step 4: Simplify right side
    78,296.64x = 7,120,330,439.04
  5. Step 5: Solve for x
    x = 7,120,330,439.04/78,296.64
  6. Step 6: Final answer
    x = 90,940.43

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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.