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Finding the Fourth Proportional to 199,203.40, 299,150.70 and 105,891.40

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Solution

The fourth proportional to 199,203.40, 299,150.70 and 105,891.40 is: 159,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,203.40 : 299,150.70 = 105,891.40 : x
  2. Step 2: Convert to fraction form
    199,203.40/299,150.70 = 105,891.40/x
  3. Step 3: Cross multiply
    199,203.40x = 299,150.70 × 105,891.40
  4. Step 4: Simplify right side
    199,203.40x = 31,677,486,433.98
  5. Step 5: Solve for x
    x = 31,677,486,433.98/199,203.40
  6. Step 6: Final answer
    x = 159,020.81

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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.