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Finding the Fourth Proportional to 78,027.25, 117,013.19 and 28,093.94

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Solution

The fourth proportional to 78,027.25, 117,013.19 and 28,093.94 is: 42,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027.25 : 117,013.19 = 28,093.94 : x
  2. Step 2: Convert to fraction form
    78,027.25/117,013.19 = 28,093.94/x
  3. Step 3: Cross multiply
    78,027.25x = 117,013.19 × 28,093.94
  4. Step 4: Simplify right side
    78,027.25x = 3,287,361,539.07
  5. Step 5: Solve for x
    x = 3,287,361,539.07/78,027.25
  6. Step 6: Final answer
    x = 42,130.94

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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.