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Finding the Fourth Proportional to 135,470.96, 186,956.64 and 81,755.12

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Solution

The fourth proportional to 135,470.96, 186,956.64 and 81,755.12 is: 112,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,470.96 : 186,956.64 = 81,755.12 : x
  2. Step 2: Convert to fraction form
    135,470.96/186,956.64 = 81,755.12/x
  3. Step 3: Cross multiply
    135,470.96x = 186,956.64 × 81,755.12
  4. Step 4: Simplify right side
    135,470.96x = 15,284,662,538.00
  5. Step 5: Solve for x
    x = 15,284,662,538.00/135,470.96
  6. Step 6: Final answer
    x = 112,826.12

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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.