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Finding the Fourth Proportional to 199,306.64, 298,958.70 and 72,955.69

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Solution

The fourth proportional to 199,306.64, 298,958.70 and 72,955.69 is: 109,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,306.64 : 298,958.70 = 72,955.69 : x
  2. Step 2: Convert to fraction form
    199,306.64/298,958.70 = 72,955.69/x
  3. Step 3: Cross multiply
    199,306.64x = 298,958.70 × 72,955.69
  4. Step 4: Simplify right side
    199,306.64x = 21,810,737,355.81
  5. Step 5: Solve for x
    x = 21,810,737,355.81/199,306.64
  6. Step 6: Final answer
    x = 109,433.07

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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.