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Finding the Fourth Proportional to 51,235.80, 76,861.80 and 19,644.60

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Solution

The fourth proportional to 51,235.80, 76,861.80 and 19,644.60 is: 29,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235.80 : 76,861.80 = 19,644.60 : x
  2. Step 2: Convert to fraction form
    51,235.80/76,861.80 = 19,644.60/x
  3. Step 3: Cross multiply
    51,235.80x = 76,861.80 × 19,644.60
  4. Step 4: Simplify right side
    51,235.80x = 1,509,919,316.28
  5. Step 5: Solve for x
    x = 1,509,919,316.28/51,235.80
  6. Step 6: Final answer
    x = 29,470.01

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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.