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Finding the Fourth Proportional to 133,397.85, 184,086.48 and 72,968.31

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Solution

The fourth proportional to 133,397.85, 184,086.48 and 72,968.31 is: 100,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,397.85 : 184,086.48 = 72,968.31 : x
  2. Step 2: Convert to fraction form
    133,397.85/184,086.48 = 72,968.31/x
  3. Step 3: Cross multiply
    133,397.85x = 184,086.48 × 72,968.31
  4. Step 4: Simplify right side
    133,397.85x = 13,432,479,339.45
  5. Step 5: Solve for x
    x = 13,432,479,339.45/133,397.85
  6. Step 6: Final answer
    x = 100,694.87

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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.