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Finding the Fourth Proportional to 133,098.90, 199,648.35 and 122,961.30

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Solution

The fourth proportional to 133,098.90, 199,648.35 and 122,961.30 is: 184,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.90 : 199,648.35 = 122,961.30 : x
  2. Step 2: Convert to fraction form
    133,098.90/199,648.35 = 122,961.30/x
  3. Step 3: Cross multiply
    133,098.90x = 199,648.35 × 122,961.30
  4. Step 4: Simplify right side
    133,098.90x = 24,549,020,658.86
  5. Step 5: Solve for x
    x = 24,549,020,658.86/133,098.90
  6. Step 6: Final answer
    x = 184,441.95

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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.