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Finding the Fourth Proportional to 85,881.76, 128,796.72 and 50,812

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Solution

The fourth proportional to 85,881.76, 128,796.72 and 50,812 is: 76,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.76 : 128,796.72 = 50,812 : x
  2. Step 2: Convert to fraction form
    85,881.76/128,796.72 = 50,812/x
  3. Step 3: Cross multiply
    85,881.76x = 128,796.72 × 50,812
  4. Step 4: Simplify right side
    85,881.76x = 6,544,418,936.64
  5. Step 5: Solve for x
    x = 6,544,418,936.64/85,881.76
  6. Step 6: Final answer
    x = 76,202.66

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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.