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Finding the Fourth Proportional to 209,039.63, 313,611.53 and 61,295.63

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Solution

The fourth proportional to 209,039.63, 313,611.53 and 61,295.63 is: 91,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,039.63 : 313,611.53 = 61,295.63 : x
  2. Step 2: Convert to fraction form
    209,039.63/313,611.53 = 61,295.63/x
  3. Step 3: Cross multiply
    209,039.63x = 313,611.53 × 61,295.63
  4. Step 4: Simplify right side
    209,039.63x = 19,223,014,432.08
  5. Step 5: Solve for x
    x = 19,223,014,432.08/209,039.63
  6. Step 6: Final answer
    x = 91,958.71

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1.5x scale

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.