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Finding the Fourth Proportional to 95,779, 143,668.50 and 30,115

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Solution

The fourth proportional to 95,779, 143,668.50 and 30,115 is: 45,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,779 : 143,668.50 = 30,115 : x
  2. Step 2: Convert to fraction form
    95,779/143,668.50 = 30,115/x
  3. Step 3: Cross multiply
    95,779x = 143,668.50 × 30,115
  4. Step 4: Simplify right side
    95,779x = 4,326,576,877.50
  5. Step 5: Solve for x
    x = 4,326,576,877.50/95,779
  6. Step 6: Final answer
    x = 45,172.50

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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.