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Finding the Fourth Proportional to 81,919,123.20, 122,796,016.20 and 40,915,497.60

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Solution

The fourth proportional to 81,919,123.20, 122,796,016.20 and 40,915,497.60 is: 61,331,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,919,123.20 : 122,796,016.20 = 40,915,497.60 : x
  2. Step 2: Convert to fraction form
    81,919,123.20/122,796,016.20 = 40,915,497.60/x
  3. Step 3: Cross multiply
    81,919,123.20x = 122,796,016.20 × 40,915,497.60
  4. Step 4: Simplify right side
    81,919,123.20x = 5,024,260,106,120,661
  5. Step 5: Solve for x
    x = 5,024,260,106,120,661/81,919,123.20
  6. Step 6: Final answer
    x = 61,331,956.57

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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.