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Finding the Fourth Proportional to 135,907, 187,534.68 and 75,469.43

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Solution

The fourth proportional to 135,907, 187,534.68 and 75,469.43 is: 104,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907 : 187,534.68 = 75,469.43 : x
  2. Step 2: Convert to fraction form
    135,907/187,534.68 = 75,469.43/x
  3. Step 3: Cross multiply
    135,907x = 187,534.68 × 75,469.43
  4. Step 4: Simplify right side
    135,907x = 14,153,135,404.83
  5. Step 5: Solve for x
    x = 14,153,135,404.83/135,907
  6. Step 6: Final answer
    x = 104,138.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.