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Finding the Fourth Proportional to 65,196.82, 97,790.36 and 20,828.26

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Solution

The fourth proportional to 65,196.82, 97,790.36 and 20,828.26 is: 31,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.82 : 97,790.36 = 20,828.26 : x
  2. Step 2: Convert to fraction form
    65,196.82/97,790.36 = 20,828.26/x
  3. Step 3: Cross multiply
    65,196.82x = 97,790.36 × 20,828.26
  4. Step 4: Simplify right side
    65,196.82x = 2,036,803,043.57
  5. Step 5: Solve for x
    x = 2,036,803,043.57/65,196.82
  6. Step 6: Final answer
    x = 31,240.83

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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.