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Finding the Fourth Proportional to 65,418, 90,288.62 and 38,558.94

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Solution

The fourth proportional to 65,418, 90,288.62 and 38,558.94 is: 53,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418 : 90,288.62 = 38,558.94 : x
  2. Step 2: Convert to fraction form
    65,418/90,288.62 = 38,558.94/x
  3. Step 3: Cross multiply
    65,418x = 90,288.62 × 38,558.94
  4. Step 4: Simplify right side
    65,418x = 3,481,433,481.26
  5. Step 5: Solve for x
    x = 3,481,433,481.26/65,418
  6. Step 6: Final answer
    x = 53,218.28

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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.