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Finding the Fourth Proportional to 135,346.50, 186,773.49 and 74,919.78

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Solution

The fourth proportional to 135,346.50, 186,773.49 and 74,919.78 is: 103,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,346.50 : 186,773.49 = 74,919.78 : x
  2. Step 2: Convert to fraction form
    135,346.50/186,773.49 = 74,919.78/x
  3. Step 3: Cross multiply
    135,346.50x = 186,773.49 × 74,919.78
  4. Step 4: Simplify right side
    135,346.50x = 13,993,028,780.63
  5. Step 5: Solve for x
    x = 13,993,028,780.63/135,346.50
  6. Step 6: Final answer
    x = 103,386.71

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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.