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Finding the Fourth Proportional to 65,367.90, 98,003.79 and 20,969.46

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Solution

The fourth proportional to 65,367.90, 98,003.79 and 20,969.46 is: 31,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,367.90 : 98,003.79 = 20,969.46 : x
  2. Step 2: Convert to fraction form
    65,367.90/98,003.79 = 20,969.46/x
  3. Step 3: Cross multiply
    65,367.90x = 98,003.79 × 20,969.46
  4. Step 4: Simplify right side
    65,367.90x = 2,055,086,554.25
  5. Step 5: Solve for x
    x = 2,055,086,554.25/65,367.90
  6. Step 6: Final answer
    x = 31,438.77

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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.