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Finding the Fourth Proportional to 258,969.80, 388,455.60 and 71,981.12

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Solution

The fourth proportional to 258,969.80, 388,455.60 and 71,981.12 is: 107,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,969.80 : 388,455.60 = 71,981.12 : x
  2. Step 2: Convert to fraction form
    258,969.80/388,455.60 = 71,981.12/x
  3. Step 3: Cross multiply
    258,969.80x = 388,455.60 × 71,981.12
  4. Step 4: Simplify right side
    258,969.80x = 27,961,469,158.27
  5. Step 5: Solve for x
    x = 27,961,469,158.27/258,969.80
  6. Step 6: Final answer
    x = 107,971.93

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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.