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Finding the Fourth Proportional to 135,446.26, 186,895.89 and 78,081.08

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Solution

The fourth proportional to 135,446.26, 186,895.89 and 78,081.08 is: 107,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,446.26 : 186,895.89 = 78,081.08 : x
  2. Step 2: Convert to fraction form
    135,446.26/186,895.89 = 78,081.08/x
  3. Step 3: Cross multiply
    135,446.26x = 186,895.89 × 78,081.08
  4. Step 4: Simplify right side
    135,446.26x = 14,593,033,779.21
  5. Step 5: Solve for x
    x = 14,593,033,779.21/135,446.26
  6. Step 6: Final answer
    x = 107,740.39

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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.