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Finding the Fourth Proportional to 209,356.30, 313,850.67 and 83,085.67

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Solution

The fourth proportional to 209,356.30, 313,850.67 and 83,085.67 is: 124,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.30 : 313,850.67 = 83,085.67 : x
  2. Step 2: Convert to fraction form
    209,356.30/313,850.67 = 83,085.67/x
  3. Step 3: Cross multiply
    209,356.30x = 313,850.67 × 83,085.67
  4. Step 4: Simplify right side
    209,356.30x = 26,076,493,196.90
  5. Step 5: Solve for x
    x = 26,076,493,196.90/209,356.30
  6. Step 6: Final answer
    x = 124,555.57

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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.