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Finding the Fourth Proportional to 120,419.70, 166,021.63 and 103,604.56

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Solution

The fourth proportional to 120,419.70, 166,021.63 and 103,604.56 is: 142,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,419.70 : 166,021.63 = 103,604.56 : x
  2. Step 2: Convert to fraction form
    120,419.70/166,021.63 = 103,604.56/x
  3. Step 3: Cross multiply
    120,419.70x = 166,021.63 × 103,604.56
  4. Step 4: Simplify right side
    120,419.70x = 17,200,598,302.28
  5. Step 5: Solve for x
    x = 17,200,598,302.28/120,419.70
  6. Step 6: Final answer
    x = 142,838.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.