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Finding the Fourth Proportional to 149,138.82, 205,855.02 and 119,133.18

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Solution

The fourth proportional to 149,138.82, 205,855.02 and 119,133.18 is: 164,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,138.82 : 205,855.02 = 119,133.18 : x
  2. Step 2: Convert to fraction form
    149,138.82/205,855.02 = 119,133.18/x
  3. Step 3: Cross multiply
    149,138.82x = 205,855.02 × 119,133.18
  4. Step 4: Simplify right side
    149,138.82x = 24,524,163,151.56
  5. Step 5: Solve for x
    x = 24,524,163,151.56/149,138.82
  6. Step 6: Final answer
    x = 164,438.50

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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.