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Finding the Fourth Proportional to 76,105.17, 105,054.57 and 68,133.56

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Solution

The fourth proportional to 76,105.17, 105,054.57 and 68,133.56 is: 94,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,105.17 : 105,054.57 = 68,133.56 : x
  2. Step 2: Convert to fraction form
    76,105.17/105,054.57 = 68,133.56/x
  3. Step 3: Cross multiply
    76,105.17x = 105,054.57 × 68,133.56
  4. Step 4: Simplify right side
    76,105.17x = 7,157,741,323.10
  5. Step 5: Solve for x
    x = 7,157,741,323.10/76,105.17
  6. Step 6: Final answer
    x = 94,050.66

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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.