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Finding the Fourth Proportional to 275,692.80, 413,484 and 75,961.92

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Solution

The fourth proportional to 275,692.80, 413,484 and 75,961.92 is: 113,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692.80 : 413,484 = 75,961.92 : x
  2. Step 2: Convert to fraction form
    275,692.80/413,484 = 75,961.92/x
  3. Step 3: Cross multiply
    275,692.80x = 413,484 × 75,961.92
  4. Step 4: Simplify right side
    275,692.80x = 31,409,038,529.28
  5. Step 5: Solve for x
    x = 31,409,038,529.28/275,692.80
  6. Step 6: Final answer
    x = 113,927.67

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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.