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Finding the Fourth Proportional to 259,201.08, 388,801.08 and 81,723.60

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Solution

The fourth proportional to 259,201.08, 388,801.08 and 81,723.60 is: 122,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,201.08 : 388,801.08 = 81,723.60 : x
  2. Step 2: Convert to fraction form
    259,201.08/388,801.08 = 81,723.60/x
  3. Step 3: Cross multiply
    259,201.08x = 388,801.08 × 81,723.60
  4. Step 4: Simplify right side
    259,201.08x = 31,774,223,941.49
  5. Step 5: Solve for x
    x = 31,774,223,941.49/259,201.08
  6. Step 6: Final answer
    x = 122,585.23

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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.