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Finding the Fourth Proportional to 65,511.92, 98,267.44 and 18,764.80

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Solution

The fourth proportional to 65,511.92, 98,267.44 and 18,764.80 is: 28,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511.92 : 98,267.44 = 18,764.80 : x
  2. Step 2: Convert to fraction form
    65,511.92/98,267.44 = 18,764.80/x
  3. Step 3: Cross multiply
    65,511.92x = 98,267.44 × 18,764.80
  4. Step 4: Simplify right side
    65,511.92x = 1,843,968,858.11
  5. Step 5: Solve for x
    x = 1,843,968,858.11/65,511.92
  6. Step 6: Final answer
    x = 28,147.07

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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.