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Finding the Fourth Proportional to 231,991.64, 347,994.70 and 110,385.54

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Solution

The fourth proportional to 231,991.64, 347,994.70 and 110,385.54 is: 165,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,991.64 : 347,994.70 = 110,385.54 : x
  2. Step 2: Convert to fraction form
    231,991.64/347,994.70 = 110,385.54/x
  3. Step 3: Cross multiply
    231,991.64x = 347,994.70 × 110,385.54
  4. Step 4: Simplify right side
    231,991.64x = 38,413,582,876.64
  5. Step 5: Solve for x
    x = 38,413,582,876.64/231,991.64
  6. Step 6: Final answer
    x = 165,581.75

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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.