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Finding the Fourth Proportional to 135,361.40, 186,796 and 74,932

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Solution

The fourth proportional to 135,361.40, 186,796 and 74,932 is: 103,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,361.40 : 186,796 = 74,932 : x
  2. Step 2: Convert to fraction form
    135,361.40/186,796 = 74,932/x
  3. Step 3: Cross multiply
    135,361.40x = 186,796 × 74,932
  4. Step 4: Simplify right side
    135,361.40x = 13,996,997,872
  5. Step 5: Solve for x
    x = 13,996,997,872/135,361.40
  6. Step 6: Final answer
    x = 103,404.65

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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.