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Finding the Fourth Proportional to 81,943,072.65, 122,914,608.98 and 81,943,072.65

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Solution

The fourth proportional to 81,943,072.65, 122,914,608.98 and 81,943,072.65 is: 122,914,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,943,072.65 : 122,914,608.98 = 81,943,072.65 : x
  2. Step 2: Convert to fraction form
    81,943,072.65/122,914,608.98 = 81,943,072.65/x
  3. Step 3: Cross multiply
    81,943,072.65x = 122,914,608.98 × 81,943,072.65
  4. Step 4: Simplify right side
    81,943,072.65x = 10,072,000,732,984,768
  5. Step 5: Solve for x
    x = 10,072,000,732,984,768/81,943,072.65
  6. Step 6: Final answer
    x = 122,914,608.98

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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.