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Finding the Fourth Proportional to 51,503.54, 77,230.59 and 21,905.33

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Solution

The fourth proportional to 51,503.54, 77,230.59 and 21,905.33 is: 32,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.54 : 77,230.59 = 21,905.33 : x
  2. Step 2: Convert to fraction form
    51,503.54/77,230.59 = 21,905.33/x
  3. Step 3: Cross multiply
    51,503.54x = 77,230.59 × 21,905.33
  4. Step 4: Simplify right side
    51,503.54x = 1,691,761,173.89
  5. Step 5: Solve for x
    x = 1,691,761,173.89/51,503.54
  6. Step 6: Final answer
    x = 32,847.48

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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.