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Finding the Fourth Proportional to 51,969.60, 77,961.60 and 18,683.46

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Solution

The fourth proportional to 51,969.60, 77,961.60 and 18,683.46 is: 28,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.60 : 77,961.60 = 18,683.46 : x
  2. Step 2: Convert to fraction form
    51,969.60/77,961.60 = 18,683.46/x
  3. Step 3: Cross multiply
    51,969.60x = 77,961.60 × 18,683.46
  4. Step 4: Simplify right side
    51,969.60x = 1,456,592,435.14
  5. Step 5: Solve for x
    x = 1,456,592,435.14/51,969.60
  6. Step 6: Final answer
    x = 28,027.78

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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.