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Finding the Fourth Proportional to 189,198.51, 283,218.20 and 122,505.95

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Solution

The fourth proportional to 189,198.51, 283,218.20 and 122,505.95 is: 183,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,198.51 : 283,218.20 = 122,505.95 : x
  2. Step 2: Convert to fraction form
    189,198.51/283,218.20 = 122,505.95/x
  3. Step 3: Cross multiply
    189,198.51x = 283,218.20 × 122,505.95
  4. Step 4: Simplify right side
    189,198.51x = 34,695,912,619.67
  5. Step 5: Solve for x
    x = 34,695,912,619.67/189,198.51
  6. Step 6: Final answer
    x = 183,383.65

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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.