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Finding the Fourth Proportional to 78,630, 117,945 and 23,224.56

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Solution

The fourth proportional to 78,630, 117,945 and 23,224.56 is: 34,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,630 : 117,945 = 23,224.56 : x
  2. Step 2: Convert to fraction form
    78,630/117,945 = 23,224.56/x
  3. Step 3: Cross multiply
    78,630x = 117,945 × 23,224.56
  4. Step 4: Simplify right side
    78,630x = 2,739,220,729.20
  5. Step 5: Solve for x
    x = 2,739,220,729.20/78,630
  6. Step 6: Final answer
    x = 34,836.84

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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.