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Finding the Fourth Proportional to 135,058, 186,380.04 and 75,442

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Solution

The fourth proportional to 135,058, 186,380.04 and 75,442 is: 104,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,058 : 186,380.04 = 75,442 : x
  2. Step 2: Convert to fraction form
    135,058/186,380.04 = 75,442/x
  3. Step 3: Cross multiply
    135,058x = 186,380.04 × 75,442
  4. Step 4: Simplify right side
    135,058x = 14,060,882,977.68
  5. Step 5: Solve for x
    x = 14,060,882,977.68/135,058
  6. Step 6: Final answer
    x = 104,109.96

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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.