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Finding the Fourth Proportional to 65,300.80, 90,116 and 35,493.44

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Solution

The fourth proportional to 65,300.80, 90,116 and 35,493.44 is: 48,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.80 : 90,116 = 35,493.44 : x
  2. Step 2: Convert to fraction form
    65,300.80/90,116 = 35,493.44/x
  3. Step 3: Cross multiply
    65,300.80x = 90,116 × 35,493.44
  4. Step 4: Simplify right side
    65,300.80x = 3,198,526,839.04
  5. Step 5: Solve for x
    x = 3,198,526,839.04/65,300.80
  6. Step 6: Final answer
    x = 48,981.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.