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Finding the Fourth Proportional to 85,297.25, 128,056.75 and 65,589.65

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Solution

The fourth proportional to 85,297.25, 128,056.75 and 65,589.65 is: 98,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,297.25 : 128,056.75 = 65,589.65 : x
  2. Step 2: Convert to fraction form
    85,297.25/128,056.75 = 65,589.65/x
  3. Step 3: Cross multiply
    85,297.25x = 128,056.75 × 65,589.65
  4. Step 4: Simplify right side
    85,297.25x = 8,399,196,608.38
  5. Step 5: Solve for x
    x = 8,399,196,608.38/85,297.25
  6. Step 6: Final answer
    x = 98,469.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.