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Finding the Fourth Proportional to 342,604.69, 513,914.09 and 105,947.29

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Solution

The fourth proportional to 342,604.69, 513,914.09 and 105,947.29 is: 158,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,604.69 : 513,914.09 = 105,947.29 : x
  2. Step 2: Convert to fraction form
    342,604.69/513,914.09 = 105,947.29/x
  3. Step 3: Cross multiply
    342,604.69x = 513,914.09 × 105,947.29
  4. Step 4: Simplify right side
    342,604.69x = 54,447,805,240.97
  5. Step 5: Solve for x
    x = 54,447,805,240.97/342,604.69
  6. Step 6: Final answer
    x = 158,923.12

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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.