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Finding the Fourth Proportional to 65,419, 90,290 and 38,559.94

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Solution

The fourth proportional to 65,419, 90,290 and 38,559.94 is: 53,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419 : 90,290 = 38,559.94 : x
  2. Step 2: Convert to fraction form
    65,419/90,290 = 38,559.94/x
  3. Step 3: Cross multiply
    65,419x = 90,290 × 38,559.94
  4. Step 4: Simplify right side
    65,419x = 3,481,576,982.60
  5. Step 5: Solve for x
    x = 3,481,576,982.60/65,419
  6. Step 6: Final answer
    x = 53,219.66

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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.