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Finding the Fourth Proportional to 65,314.56, 90,000.48 and 61,785.60

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Solution

The fourth proportional to 65,314.56, 90,000.48 and 61,785.60 is: 85,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.56 : 90,000.48 = 61,785.60 : x
  2. Step 2: Convert to fraction form
    65,314.56/90,000.48 = 61,785.60/x
  3. Step 3: Cross multiply
    65,314.56x = 90,000.48 × 61,785.60
  4. Step 4: Simplify right side
    65,314.56x = 5,560,733,657.09
  5. Step 5: Solve for x
    x = 5,560,733,657.09/65,314.56
  6. Step 6: Final answer
    x = 85,137.73

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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.