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Finding the Fourth Proportional to 193,680, 290,530.98 and 69,021

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Solution

The fourth proportional to 193,680, 290,530.98 and 69,021 is: 103,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,680 : 290,530.98 = 69,021 : x
  2. Step 2: Convert to fraction form
    193,680/290,530.98 = 69,021/x
  3. Step 3: Cross multiply
    193,680x = 290,530.98 × 69,021
  4. Step 4: Simplify right side
    193,680x = 20,052,738,770.58
  5. Step 5: Solve for x
    x = 20,052,738,770.58/193,680
  6. Step 6: Final answer
    x = 103,535.41

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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.