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Finding the Fourth Proportional to 81,893.64, 122,843.95 and 28,590.98

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Solution

The fourth proportional to 81,893.64, 122,843.95 and 28,590.98 is: 42,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.64 : 122,843.95 = 28,590.98 : x
  2. Step 2: Convert to fraction form
    81,893.64/122,843.95 = 28,590.98/x
  3. Step 3: Cross multiply
    81,893.64x = 122,843.95 × 28,590.98
  4. Step 4: Simplify right side
    81,893.64x = 3,512,228,692.54
  5. Step 5: Solve for x
    x = 3,512,228,692.54/81,893.64
  6. Step 6: Final answer
    x = 42,887.69

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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.