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Finding the Fourth Proportional to 120,993.60, 181,490.40 and 106,559.40

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Solution

The fourth proportional to 120,993.60, 181,490.40 and 106,559.40 is: 159,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.60 : 181,490.40 = 106,559.40 : x
  2. Step 2: Convert to fraction form
    120,993.60/181,490.40 = 106,559.40/x
  3. Step 3: Cross multiply
    120,993.60x = 181,490.40 × 106,559.40
  4. Step 4: Simplify right side
    120,993.60x = 19,339,508,129.76
  5. Step 5: Solve for x
    x = 19,339,508,129.76/120,993.60
  6. Step 6: Final answer
    x = 159,839.10

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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.