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Finding the Fourth Proportional to 76,956.44, 105,963 and 65,600.48

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Solution

The fourth proportional to 76,956.44, 105,963 and 65,600.48 is: 90,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956.44 : 105,963 = 65,600.48 : x
  2. Step 2: Convert to fraction form
    76,956.44/105,963 = 65,600.48/x
  3. Step 3: Cross multiply
    76,956.44x = 105,963 × 65,600.48
  4. Step 4: Simplify right side
    76,956.44x = 6,951,223,662.24
  5. Step 5: Solve for x
    x = 6,951,223,662.24/76,956.44
  6. Step 6: Final answer
    x = 90,326.73

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1.5x scale

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.