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Finding the Fourth Proportional to 129,654, 194,539.56 and 74,250

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Solution

The fourth proportional to 129,654, 194,539.56 and 74,250 is: 111,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 194,539.56 = 74,250 : x
  2. Step 2: Convert to fraction form
    129,654/194,539.56 = 74,250/x
  3. Step 3: Cross multiply
    129,654x = 194,539.56 × 74,250
  4. Step 4: Simplify right side
    129,654x = 14,444,562,330
  5. Step 5: Solve for x
    x = 14,444,562,330/129,654
  6. Step 6: Final answer
    x = 111,408.54

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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.