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Finding the Fourth Proportional to 65,819.88, 90,825.30 and 40,314.60

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Solution

The fourth proportional to 65,819.88, 90,825.30 and 40,314.60 is: 55,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819.88 : 90,825.30 = 40,314.60 : x
  2. Step 2: Convert to fraction form
    65,819.88/90,825.30 = 40,314.60/x
  3. Step 3: Cross multiply
    65,819.88x = 90,825.30 × 40,314.60
  4. Step 4: Simplify right side
    65,819.88x = 3,661,585,639.38
  5. Step 5: Solve for x
    x = 3,661,585,639.38/65,819.88
  6. Step 6: Final answer
    x = 55,630.39

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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.