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Finding the Fourth Proportional to 76,833.33, 105,990.46 and 51,331.54

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Solution

The fourth proportional to 76,833.33, 105,990.46 and 51,331.54 is: 70,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,833.33 : 105,990.46 = 51,331.54 : x
  2. Step 2: Convert to fraction form
    76,833.33/105,990.46 = 51,331.54/x
  3. Step 3: Cross multiply
    76,833.33x = 105,990.46 × 51,331.54
  4. Step 4: Simplify right side
    76,833.33x = 5,440,653,537.11
  5. Step 5: Solve for x
    x = 5,440,653,537.11/76,833.33
  6. Step 6: Final answer
    x = 70,811.11

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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.