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Finding the Fourth Proportional to 65,650.50, 98,455.10 and 21,266.96

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Solution

The fourth proportional to 65,650.50, 98,455.10 and 21,266.96 is: 31,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,650.50 : 98,455.10 = 21,266.96 : x
  2. Step 2: Convert to fraction form
    65,650.50/98,455.10 = 21,266.96/x
  3. Step 3: Cross multiply
    65,650.50x = 98,455.10 × 21,266.96
  4. Step 4: Simplify right side
    65,650.50x = 2,093,840,299.36
  5. Step 5: Solve for x
    x = 2,093,840,299.36/65,650.50
  6. Step 6: Final answer
    x = 31,893.74

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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.