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Finding the Fourth Proportional to 65,420, 90,291.38 and 38,560.94

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Solution

The fourth proportional to 65,420, 90,291.38 and 38,560.94 is: 53,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420 : 90,291.38 = 38,560.94 : x
  2. Step 2: Convert to fraction form
    65,420/90,291.38 = 38,560.94/x
  3. Step 3: Cross multiply
    65,420x = 90,291.38 × 38,560.94
  4. Step 4: Simplify right side
    65,420x = 3,481,720,486.70
  5. Step 5: Solve for x
    x = 3,481,720,486.70/65,420
  6. Step 6: Final answer
    x = 53,221.04

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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.