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Finding the Fourth Proportional to 103,634.60, 155,451.90 and 71,977.78

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Solution

The fourth proportional to 103,634.60, 155,451.90 and 71,977.78 is: 107,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.60 : 155,451.90 = 71,977.78 : x
  2. Step 2: Convert to fraction form
    103,634.60/155,451.90 = 71,977.78/x
  3. Step 3: Cross multiply
    103,634.60x = 155,451.90 × 71,977.78
  4. Step 4: Simplify right side
    103,634.60x = 11,189,082,658.78
  5. Step 5: Solve for x
    x = 11,189,082,658.78/103,634.60
  6. Step 6: Final answer
    x = 107,966.67

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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.