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Finding the Fourth Proportional to 133,408.34, 184,107.91 and 72,977.60

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Solution

The fourth proportional to 133,408.34, 184,107.91 and 72,977.60 is: 100,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,408.34 : 184,107.91 = 72,977.60 : x
  2. Step 2: Convert to fraction form
    133,408.34/184,107.91 = 72,977.60/x
  3. Step 3: Cross multiply
    133,408.34x = 184,107.91 × 72,977.60
  4. Step 4: Simplify right side
    133,408.34x = 13,435,753,690.64
  5. Step 5: Solve for x
    x = 13,435,753,690.64/133,408.34
  6. Step 6: Final answer
    x = 100,711.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.