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Finding the Fourth Proportional to 202,211.80, 303,317.70 and 139,226.20

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Solution

The fourth proportional to 202,211.80, 303,317.70 and 139,226.20 is: 208,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211.80 : 303,317.70 = 139,226.20 : x
  2. Step 2: Convert to fraction form
    202,211.80/303,317.70 = 139,226.20/x
  3. Step 3: Cross multiply
    202,211.80x = 303,317.70 × 139,226.20
  4. Step 4: Simplify right side
    202,211.80x = 42,229,770,763.74
  5. Step 5: Solve for x
    x = 42,229,770,763.74/202,211.80
  6. Step 6: Final answer
    x = 208,839.30

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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.