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Finding the Fourth Proportional to 258,075, 387,112.50 and 71,086.52

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Solution

The fourth proportional to 258,075, 387,112.50 and 71,086.52 is: 106,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,075 : 387,112.50 = 71,086.52 : x
  2. Step 2: Convert to fraction form
    258,075/387,112.50 = 71,086.52/x
  3. Step 3: Cross multiply
    258,075x = 387,112.50 × 71,086.52
  4. Step 4: Simplify right side
    258,075x = 27,518,480,473.50
  5. Step 5: Solve for x
    x = 27,518,480,473.50/258,075
  6. Step 6: Final answer
    x = 106,629.78

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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.