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Finding the Fourth Proportional to 81,954.60, 113,101.56 and 50,113.50

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Solution

The fourth proportional to 81,954.60, 113,101.56 and 50,113.50 is: 69,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,954.60 : 113,101.56 = 50,113.50 : x
  2. Step 2: Convert to fraction form
    81,954.60/113,101.56 = 50,113.50/x
  3. Step 3: Cross multiply
    81,954.60x = 113,101.56 × 50,113.50
  4. Step 4: Simplify right side
    81,954.60x = 5,667,915,027.06
  5. Step 5: Solve for x
    x = 5,667,915,027.06/81,954.60
  6. Step 6: Final answer
    x = 69,159.21

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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.