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Finding the Fourth Proportional to 65,645, 90,553.62 and 43,020.48

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Solution

The fourth proportional to 65,645, 90,553.62 and 43,020.48 is: 59,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,645 : 90,553.62 = 43,020.48 : x
  2. Step 2: Convert to fraction form
    65,645/90,553.62 = 43,020.48/x
  3. Step 3: Cross multiply
    65,645x = 90,553.62 × 43,020.48
  4. Step 4: Simplify right side
    65,645x = 3,895,660,198.14
  5. Step 5: Solve for x
    x = 3,895,660,198.14/65,645
  6. Step 6: Final answer
    x = 59,344.36

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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.