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Finding the Fourth Proportional to 65,266.80, 97,770.60 and 38,893.20

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Solution

The fourth proportional to 65,266.80, 97,770.60 and 38,893.20 is: 58,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,266.80 : 97,770.60 = 38,893.20 : x
  2. Step 2: Convert to fraction form
    65,266.80/97,770.60 = 38,893.20/x
  3. Step 3: Cross multiply
    65,266.80x = 97,770.60 × 38,893.20
  4. Step 4: Simplify right side
    65,266.80x = 3,802,611,499.92
  5. Step 5: Solve for x
    x = 3,802,611,499.92/65,266.80
  6. Step 6: Final answer
    x = 58,262.57

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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.