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Finding the Fourth Proportional to 135,495.56, 186,985.17 and 75,067.49

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Solution

The fourth proportional to 135,495.56, 186,985.17 and 75,067.49 is: 103,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,495.56 : 186,985.17 = 75,067.49 : x
  2. Step 2: Convert to fraction form
    135,495.56/186,985.17 = 75,067.49/x
  3. Step 3: Cross multiply
    135,495.56x = 186,985.17 × 75,067.49
  4. Step 4: Simplify right side
    135,495.56x = 14,036,507,379.12
  5. Step 5: Solve for x
    x = 14,036,507,379.12/135,495.56
  6. Step 6: Final answer
    x = 103,593.85

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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.