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Finding the Fourth Proportional to 129,969.84, 194,973.33 and 40,020.15

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Solution

The fourth proportional to 129,969.84, 194,973.33 and 40,020.15 is: 60,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.84 : 194,973.33 = 40,020.15 : x
  2. Step 2: Convert to fraction form
    129,969.84/194,973.33 = 40,020.15/x
  3. Step 3: Cross multiply
    129,969.84x = 194,973.33 × 40,020.15
  4. Step 4: Simplify right side
    129,969.84x = 7,802,861,912.60
  5. Step 5: Solve for x
    x = 7,802,861,912.60/129,969.84
  6. Step 6: Final answer
    x = 60,035.94

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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.