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Finding the Fourth Proportional to 259,709.06, 389,623.60 and 82,216.07

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Solution

The fourth proportional to 259,709.06, 389,623.60 and 82,216.07 is: 123,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,709.06 : 389,623.60 = 82,216.07 : x
  2. Step 2: Convert to fraction form
    259,709.06/389,623.60 = 82,216.07/x
  3. Step 3: Cross multiply
    259,709.06x = 389,623.60 × 82,216.07
  4. Step 4: Simplify right side
    259,709.06x = 32,033,319,223.13
  5. Step 5: Solve for x
    x = 32,033,319,223.13/259,709.06
  6. Step 6: Final answer
    x = 123,343.10

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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.