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Finding the Fourth Proportional to 213,881.85, 320,692.86 and 107,141.67

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Solution

The fourth proportional to 213,881.85, 320,692.86 and 107,141.67 is: 160,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,881.85 : 320,692.86 = 107,141.67 : x
  2. Step 2: Convert to fraction form
    213,881.85/320,692.86 = 107,141.67/x
  3. Step 3: Cross multiply
    213,881.85x = 320,692.86 × 107,141.67
  4. Step 4: Simplify right side
    213,881.85x = 34,359,568,577.48
  5. Step 5: Solve for x
    x = 34,359,568,577.48/213,881.85
  6. Step 6: Final answer
    x = 160,647.43

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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.