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Finding the Fourth Proportional to 258,749.44, 388,124.16 and 71,760.94

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Solution

The fourth proportional to 258,749.44, 388,124.16 and 71,760.94 is: 107,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,749.44 : 388,124.16 = 71,760.94 : x
  2. Step 2: Convert to fraction form
    258,749.44/388,124.16 = 71,760.94/x
  3. Step 3: Cross multiply
    258,749.44x = 388,124.16 × 71,760.94
  4. Step 4: Simplify right side
    258,749.44x = 27,852,153,318.90
  5. Step 5: Solve for x
    x = 27,852,153,318.90/258,749.44
  6. Step 6: Final answer
    x = 107,641.41

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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.