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Finding the Fourth Proportional to 120,420.70, 166,023.01 and 103,605.56

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Solution

The fourth proportional to 120,420.70, 166,023.01 and 103,605.56 is: 142,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.70 : 166,023.01 = 103,605.56 : x
  2. Step 2: Convert to fraction form
    120,420.70/166,023.01 = 103,605.56/x
  3. Step 3: Cross multiply
    120,420.70x = 166,023.01 × 103,605.56
  4. Step 4: Simplify right side
    120,420.70x = 17,200,906,923.94
  5. Step 5: Solve for x
    x = 17,200,906,923.94/120,420.70
  6. Step 6: Final answer
    x = 142,840.12

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