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Finding the Fourth Proportional to 81,712.56, 112,745.84 and 47,705.60

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Solution

The fourth proportional to 81,712.56, 112,745.84 and 47,705.60 is: 65,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.56 : 112,745.84 = 47,705.60 : x
  2. Step 2: Convert to fraction form
    81,712.56/112,745.84 = 47,705.60/x
  3. Step 3: Cross multiply
    81,712.56x = 112,745.84 × 47,705.60
  4. Step 4: Simplify right side
    81,712.56x = 5,378,607,944.70
  5. Step 5: Solve for x
    x = 5,378,607,944.70/81,712.56
  6. Step 6: Final answer
    x = 65,823.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.