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Finding the Fourth Proportional to 133,408.08, 184,103.08 and 72,978.71

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Solution

The fourth proportional to 133,408.08, 184,103.08 and 72,978.71 is: 100,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,408.08 : 184,103.08 = 72,978.71 : x
  2. Step 2: Convert to fraction form
    133,408.08/184,103.08 = 72,978.71/x
  3. Step 3: Cross multiply
    133,408.08x = 184,103.08 × 72,978.71
  4. Step 4: Simplify right side
    133,408.08x = 13,435,604,364.91
  5. Step 5: Solve for x
    x = 13,435,604,364.91/133,408.08
  6. Step 6: Final answer
    x = 100,710.58

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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.