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Finding the Fourth Proportional to 85,779, 128,668.50 and 23,449.50

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Solution

The fourth proportional to 85,779, 128,668.50 and 23,449.50 is: 35,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,779 : 128,668.50 = 23,449.50 : x
  2. Step 2: Convert to fraction form
    85,779/128,668.50 = 23,449.50/x
  3. Step 3: Cross multiply
    85,779x = 128,668.50 × 23,449.50
  4. Step 4: Simplify right side
    85,779x = 3,017,211,990.75
  5. Step 5: Solve for x
    x = 3,017,211,990.75/85,779
  6. Step 6: Final answer
    x = 35,174.25

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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.