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Finding the Fourth Proportional to 259,231.74, 388,810.60 and 81,715.64

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Solution

The fourth proportional to 259,231.74, 388,810.60 and 81,715.64 is: 122,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,231.74 : 388,810.60 = 81,715.64 : x
  2. Step 2: Convert to fraction form
    259,231.74/388,810.60 = 81,715.64/x
  3. Step 3: Cross multiply
    259,231.74x = 388,810.60 × 81,715.64
  4. Step 4: Simplify right side
    259,231.74x = 31,771,907,017.78
  5. Step 5: Solve for x
    x = 31,771,907,017.78/259,231.74
  6. Step 6: Final answer
    x = 122,561.79

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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.