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Finding the Fourth Proportional to 65,245.38, 97,840.53 and 20,261.22

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Solution

The fourth proportional to 65,245.38, 97,840.53 and 20,261.22 is: 30,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.38 : 97,840.53 = 20,261.22 : x
  2. Step 2: Convert to fraction form
    65,245.38/97,840.53 = 20,261.22/x
  3. Step 3: Cross multiply
    65,245.38x = 97,840.53 × 20,261.22
  4. Step 4: Simplify right side
    65,245.38x = 1,982,368,503.25
  5. Step 5: Solve for x
    x = 1,982,368,503.25/65,245.38
  6. Step 6: Final answer
    x = 30,383.28

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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.