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Finding the Fourth Proportional to 258,074, 387,111 and 71,085.52

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Solution

The fourth proportional to 258,074, 387,111 and 71,085.52 is: 106,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,074 : 387,111 = 71,085.52 : x
  2. Step 2: Convert to fraction form
    258,074/387,111 = 71,085.52/x
  3. Step 3: Cross multiply
    258,074x = 387,111 × 71,085.52
  4. Step 4: Simplify right side
    258,074x = 27,517,986,732.72
  5. Step 5: Solve for x
    x = 27,517,986,732.72/258,074
  6. Step 6: Final answer
    x = 106,628.28

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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.