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Finding the Fourth Proportional to 78,193.26, 117,289.98 and 19,028.94

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Solution

The fourth proportional to 78,193.26, 117,289.98 and 19,028.94 is: 28,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.26 : 117,289.98 = 19,028.94 : x
  2. Step 2: Convert to fraction form
    78,193.26/117,289.98 = 19,028.94/x
  3. Step 3: Cross multiply
    78,193.26x = 117,289.98 × 19,028.94
  4. Step 4: Simplify right side
    78,193.26x = 2,231,903,992.02
  5. Step 5: Solve for x
    x = 2,231,903,992.02/78,193.26
  6. Step 6: Final answer
    x = 28,543.43

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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.