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Finding the Fourth Proportional to 258,085.44, 386,977.50 and 100,129.37

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Solution

The fourth proportional to 258,085.44, 386,977.50 and 100,129.37 is: 150,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,085.44 : 386,977.50 = 100,129.37 : x
  2. Step 2: Convert to fraction form
    258,085.44/386,977.50 = 100,129.37/x
  3. Step 3: Cross multiply
    258,085.44x = 386,977.50 × 100,129.37
  4. Step 4: Simplify right side
    258,085.44x = 38,747,811,344.29
  5. Step 5: Solve for x
    x = 38,747,811,344.29/258,085.44
  6. Step 6: Final answer
    x = 150,135.60

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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.