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Finding the Fourth Proportional to 81,784.44, 122,603.94 and 31,852.92

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Solution

The fourth proportional to 81,784.44, 122,603.94 and 31,852.92 is: 47,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,784.44 : 122,603.94 = 31,852.92 : x
  2. Step 2: Convert to fraction form
    81,784.44/122,603.94 = 31,852.92/x
  3. Step 3: Cross multiply
    81,784.44x = 122,603.94 × 31,852.92
  4. Step 4: Simplify right side
    81,784.44x = 3,905,293,492.50
  5. Step 5: Solve for x
    x = 3,905,293,492.50/81,784.44
  6. Step 6: Final answer
    x = 47,751.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.