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Finding the Fourth Proportional to 65,419.72, 90,281.39 and 36,744.44

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Solution

The fourth proportional to 65,419.72, 90,281.39 and 36,744.44 is: 50,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.72 : 90,281.39 = 36,744.44 : x
  2. Step 2: Convert to fraction form
    65,419.72/90,281.39 = 36,744.44/x
  3. Step 3: Cross multiply
    65,419.72x = 90,281.39 × 36,744.44
  4. Step 4: Simplify right side
    65,419.72x = 3,317,339,117.97
  5. Step 5: Solve for x
    x = 3,317,339,117.97/65,419.72
  6. Step 6: Final answer
    x = 50,708.55

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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.