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Finding the Fourth Proportional to 76,853.25, 106,057.49 and 43,319.25

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Solution

The fourth proportional to 76,853.25, 106,057.49 and 43,319.25 is: 59,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,853.25 : 106,057.49 = 43,319.25 : x
  2. Step 2: Convert to fraction form
    76,853.25/106,057.49 = 43,319.25/x
  3. Step 3: Cross multiply
    76,853.25x = 106,057.49 × 43,319.25
  4. Step 4: Simplify right side
    76,853.25x = 4,594,330,707.09
  5. Step 5: Solve for x
    x = 4,594,330,707.09/76,853.25
  6. Step 6: Final answer
    x = 59,780.57

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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.