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Finding the Fourth Proportional to 50,758.22, 75,977.40 and 45,408.95

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Solution

The fourth proportional to 50,758.22, 75,977.40 and 45,408.95 is: 67,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,758.22 : 75,977.40 = 45,408.95 : x
  2. Step 2: Convert to fraction form
    50,758.22/75,977.40 = 45,408.95/x
  3. Step 3: Cross multiply
    50,758.22x = 75,977.40 × 45,408.95
  4. Step 4: Simplify right side
    50,758.22x = 3,450,054,147.67
  5. Step 5: Solve for x
    x = 3,450,054,147.67/50,758.22
  6. Step 6: Final answer
    x = 67,970.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.