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Finding the Fourth Proportional to 208,945.80, 313,302.06 and 68,692.68

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Solution

The fourth proportional to 208,945.80, 313,302.06 and 68,692.68 is: 103,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,945.80 : 313,302.06 = 68,692.68 : x
  2. Step 2: Convert to fraction form
    208,945.80/313,302.06 = 68,692.68/x
  3. Step 3: Cross multiply
    208,945.80x = 313,302.06 × 68,692.68
  4. Step 4: Simplify right side
    208,945.80x = 21,521,558,150.92
  5. Step 5: Solve for x
    x = 21,521,558,150.92/208,945.80
  6. Step 6: Final answer
    x = 103,000.67

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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.