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Finding the Fourth Proportional to 76,858, 106,065.66 and 43,324

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Solution

The fourth proportional to 76,858, 106,065.66 and 43,324 is: 59,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,858 : 106,065.66 = 43,324 : x
  2. Step 2: Convert to fraction form
    76,858/106,065.66 = 43,324/x
  3. Step 3: Cross multiply
    76,858x = 106,065.66 × 43,324
  4. Step 4: Simplify right side
    76,858x = 4,595,188,653.84
  5. Step 5: Solve for x
    x = 4,595,188,653.84/76,858
  6. Step 6: Final answer
    x = 59,788.03

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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.