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Finding the Fourth Proportional to 118,945.64, 164,145.21 and 65,231.03

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Solution

The fourth proportional to 118,945.64, 164,145.21 and 65,231.03 is: 90,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,945.64 : 164,145.21 = 65,231.03 : x
  2. Step 2: Convert to fraction form
    118,945.64/164,145.21 = 65,231.03/x
  3. Step 3: Cross multiply
    118,945.64x = 164,145.21 × 65,231.03
  4. Step 4: Simplify right side
    118,945.64x = 10,707,361,117.87
  5. Step 5: Solve for x
    x = 10,707,361,117.87/118,945.64
  6. Step 6: Final answer
    x = 90,018.95

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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.