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Finding the Fourth Proportional to 76,212.86, 105,138.80 and 49,364

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Solution

The fourth proportional to 76,212.86, 105,138.80 and 49,364 is: 68,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.86 : 105,138.80 = 49,364 : x
  2. Step 2: Convert to fraction form
    76,212.86/105,138.80 = 49,364/x
  3. Step 3: Cross multiply
    76,212.86x = 105,138.80 × 49,364
  4. Step 4: Simplify right side
    76,212.86x = 5,190,071,723.20
  5. Step 5: Solve for x
    x = 5,190,071,723.20/76,212.86
  6. Step 6: Final answer
    x = 68,099.68

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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.