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Finding the Fourth Proportional to 65,220.52, 97,782.90 and 20,821.72

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Solution

The fourth proportional to 65,220.52, 97,782.90 and 20,821.72 is: 31,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220.52 : 97,782.90 = 20,821.72 : x
  2. Step 2: Convert to fraction form
    65,220.52/97,782.90 = 20,821.72/x
  3. Step 3: Cross multiply
    65,220.52x = 97,782.90 × 20,821.72
  4. Step 4: Simplify right side
    65,220.52x = 2,036,008,164.59
  5. Step 5: Solve for x
    x = 2,036,008,164.59/65,220.52
  6. Step 6: Final answer
    x = 31,217.29

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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.