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Finding the Fourth Proportional to 65,220.30, 97,843.95 and 20,841.30

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Solution

The fourth proportional to 65,220.30, 97,843.95 and 20,841.30 is: 31,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220.30 : 97,843.95 = 20,841.30 : x
  2. Step 2: Convert to fraction form
    65,220.30/97,843.95 = 20,841.30/x
  3. Step 3: Cross multiply
    65,220.30x = 97,843.95 × 20,841.30
  4. Step 4: Simplify right side
    65,220.30x = 2,039,195,115.14
  5. Step 5: Solve for x
    x = 2,039,195,115.14/65,220.30
  6. Step 6: Final answer
    x = 31,266.26

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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.