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Finding the Fourth Proportional to 65,692.56, 98,554.32 and 21,319.28

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Solution

The fourth proportional to 65,692.56, 98,554.32 and 21,319.28 is: 31,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.56 : 98,554.32 = 21,319.28 : x
  2. Step 2: Convert to fraction form
    65,692.56/98,554.32 = 21,319.28/x
  3. Step 3: Cross multiply
    65,692.56x = 98,554.32 × 21,319.28
  4. Step 4: Simplify right side
    65,692.56x = 2,101,107,143.29
  5. Step 5: Solve for x
    x = 2,101,107,143.29/65,692.56
  6. Step 6: Final answer
    x = 31,983.94

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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.