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Finding the Fourth Proportional to 192,403.80, 288,277.65 and 158,942.70

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Solution

The fourth proportional to 192,403.80, 288,277.65 and 158,942.70 is: 238,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,403.80 : 288,277.65 = 158,942.70 : x
  2. Step 2: Convert to fraction form
    192,403.80/288,277.65 = 158,942.70/x
  3. Step 3: Cross multiply
    192,403.80x = 288,277.65 × 158,942.70
  4. Step 4: Simplify right side
    192,403.80x = 45,819,628,040.66
  5. Step 5: Solve for x
    x = 45,819,628,040.66/192,403.80
  6. Step 6: Final answer
    x = 238,143.05

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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.