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Finding the Fourth Proportional to 135,305.89, 186,720.29 and 74,872.86

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Solution

The fourth proportional to 135,305.89, 186,720.29 and 74,872.86 is: 103,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,305.89 : 186,720.29 = 74,872.86 : x
  2. Step 2: Convert to fraction form
    135,305.89/186,720.29 = 74,872.86/x
  3. Step 3: Cross multiply
    135,305.89x = 186,720.29 × 74,872.86
  4. Step 4: Simplify right side
    135,305.89x = 13,980,281,338.54
  5. Step 5: Solve for x
    x = 13,980,281,338.54/135,305.89
  6. Step 6: Final answer
    x = 103,323.52

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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.