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Finding the Fourth Proportional to 65,825.40, 98,713.80 and 21,453.60

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Solution

The fourth proportional to 65,825.40, 98,713.80 and 21,453.60 is: 32,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,825.40 : 98,713.80 = 21,453.60 : x
  2. Step 2: Convert to fraction form
    65,825.40/98,713.80 = 21,453.60/x
  3. Step 3: Cross multiply
    65,825.40x = 98,713.80 × 21,453.60
  4. Step 4: Simplify right side
    65,825.40x = 2,117,766,379.68
  5. Step 5: Solve for x
    x = 2,117,766,379.68/65,825.40
  6. Step 6: Final answer
    x = 32,172.48

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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.