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Finding the Fourth Proportional to 56,664.96, 84,996.48 and 19,728

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Solution

The fourth proportional to 56,664.96, 84,996.48 and 19,728 is: 29,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664.96 : 84,996.48 = 19,728 : x
  2. Step 2: Convert to fraction form
    56,664.96/84,996.48 = 19,728/x
  3. Step 3: Cross multiply
    56,664.96x = 84,996.48 × 19,728
  4. Step 4: Simplify right side
    56,664.96x = 1,676,810,557.44
  5. Step 5: Solve for x
    x = 1,676,810,557.44/56,664.96
  6. Step 6: Final answer
    x = 29,591.67

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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.