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Finding the Fourth Proportional to 258,760.50, 388,140.75 and 71,772

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Solution

The fourth proportional to 258,760.50, 388,140.75 and 71,772 is: 107,658

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,760.50 : 388,140.75 = 71,772 : x
  2. Step 2: Convert to fraction form
    258,760.50/388,140.75 = 71,772/x
  3. Step 3: Cross multiply
    258,760.50x = 388,140.75 × 71,772
  4. Step 4: Simplify right side
    258,760.50x = 27,857,637,909
  5. Step 5: Solve for x
    x = 27,857,637,909/258,760.50
  6. Step 6: Final answer
    x = 107,658

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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.