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Finding the Fourth Proportional to 81,755.76, 112,833.03 and 45,945

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Solution

The fourth proportional to 81,755.76, 112,833.03 and 45,945 is: 63,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,755.76 : 112,833.03 = 45,945 : x
  2. Step 2: Convert to fraction form
    81,755.76/112,833.03 = 45,945/x
  3. Step 3: Cross multiply
    81,755.76x = 112,833.03 × 45,945
  4. Step 4: Simplify right side
    81,755.76x = 5,184,113,563.35
  5. Step 5: Solve for x
    x = 5,184,113,563.35/81,755.76
  6. Step 6: Final answer
    x = 63,409.77

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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.