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Finding the Fourth Proportional to 65,692.62, 98,537.56 and 21,319.30

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Solution

The fourth proportional to 65,692.62, 98,537.56 and 21,319.30 is: 31,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.62 : 98,537.56 = 21,319.30 : x
  2. Step 2: Convert to fraction form
    65,692.62/98,537.56 = 21,319.30/x
  3. Step 3: Cross multiply
    65,692.62x = 98,537.56 × 21,319.30
  4. Step 4: Simplify right side
    65,692.62x = 2,100,751,992.70
  5. Step 5: Solve for x
    x = 2,100,751,992.70/65,692.62
  6. Step 6: Final answer
    x = 31,978.51

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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.