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Finding the Fourth Proportional to 65,692.78, 98,513.61 and 21,308.80

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Solution

The fourth proportional to 65,692.78, 98,513.61 and 21,308.80 is: 31,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.78 : 98,513.61 = 21,308.80 : x
  2. Step 2: Convert to fraction form
    65,692.78/98,513.61 = 21,308.80/x
  3. Step 3: Cross multiply
    65,692.78x = 98,513.61 × 21,308.80
  4. Step 4: Simplify right side
    65,692.78x = 2,099,206,812.77
  5. Step 5: Solve for x
    x = 2,099,206,812.77/65,692.78
  6. Step 6: Final answer
    x = 31,954.91

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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.