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Finding the Fourth Proportional to 109,967.40, 164,879.10 and 43,367.40

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Solution

The fourth proportional to 109,967.40, 164,879.10 and 43,367.40 is: 65,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,967.40 : 164,879.10 = 43,367.40 : x
  2. Step 2: Convert to fraction form
    109,967.40/164,879.10 = 43,367.40/x
  3. Step 3: Cross multiply
    109,967.40x = 164,879.10 × 43,367.40
  4. Step 4: Simplify right side
    109,967.40x = 7,150,377,881.34
  5. Step 5: Solve for x
    x = 7,150,377,881.34/109,967.40
  6. Step 6: Final answer
    x = 65,022.71

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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.