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Finding the Fourth Proportional to 342,571.50, 513,906.26 and 105,932.43

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Solution

The fourth proportional to 342,571.50, 513,906.26 and 105,932.43 is: 158,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,571.50 : 513,906.26 = 105,932.43 : x
  2. Step 2: Convert to fraction form
    342,571.50/513,906.26 = 105,932.43/x
  3. Step 3: Cross multiply
    342,571.50x = 513,906.26 × 105,932.43
  4. Step 4: Simplify right side
    342,571.50x = 54,439,338,384.35
  5. Step 5: Solve for x
    x = 54,439,338,384.35/342,571.50
  6. Step 6: Final answer
    x = 158,913.80

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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.