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Finding the Fourth Proportional to 70,540.32, 105,828.70 and 26,179.70

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Solution

The fourth proportional to 70,540.32, 105,828.70 and 26,179.70 is: 39,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540.32 : 105,828.70 = 26,179.70 : x
  2. Step 2: Convert to fraction form
    70,540.32/105,828.70 = 26,179.70/x
  3. Step 3: Cross multiply
    70,540.32x = 105,828.70 × 26,179.70
  4. Step 4: Simplify right side
    70,540.32x = 2,770,563,617.39
  5. Step 5: Solve for x
    x = 2,770,563,617.39/70,540.32
  6. Step 6: Final answer
    x = 39,276.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.