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Finding the Fourth Proportional to 83,907, 125,860.50 and 34,660.28

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Solution

The fourth proportional to 83,907, 125,860.50 and 34,660.28 is: 51,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907 : 125,860.50 = 34,660.28 : x
  2. Step 2: Convert to fraction form
    83,907/125,860.50 = 34,660.28/x
  3. Step 3: Cross multiply
    83,907x = 125,860.50 × 34,660.28
  4. Step 4: Simplify right side
    83,907x = 4,362,360,170.94
  5. Step 5: Solve for x
    x = 4,362,360,170.94/83,907
  6. Step 6: Final answer
    x = 51,990.42

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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.