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Finding the Fourth Proportional to 81,893.30, 122,840.52 and 28,585.06

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Solution

The fourth proportional to 81,893.30, 122,840.52 and 28,585.06 is: 42,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.30 : 122,840.52 = 28,585.06 : x
  2. Step 2: Convert to fraction form
    81,893.30/122,840.52 = 28,585.06/x
  3. Step 3: Cross multiply
    81,893.30x = 122,840.52 × 28,585.06
  4. Step 4: Simplify right side
    81,893.30x = 3,511,403,634.63
  5. Step 5: Solve for x
    x = 3,511,403,634.63/81,893.30
  6. Step 6: Final answer
    x = 42,877.79

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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.