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Finding the Fourth Proportional to 65,829.67, 98,754.74 and 21,446.09

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Solution

The fourth proportional to 65,829.67, 98,754.74 and 21,446.09 is: 32,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,829.67 : 98,754.74 = 21,446.09 : x
  2. Step 2: Convert to fraction form
    65,829.67/98,754.74 = 21,446.09/x
  3. Step 3: Cross multiply
    65,829.67x = 98,754.74 × 21,446.09
  4. Step 4: Simplify right side
    65,829.67x = 2,117,902,494.58
  5. Step 5: Solve for x
    x = 2,117,902,494.58/65,829.67
  6. Step 6: Final answer
    x = 32,172.46

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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.