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Finding the Fourth Proportional to 119,858.81, 165,311.69 and 76,842.41

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Solution

The fourth proportional to 119,858.81, 165,311.69 and 76,842.41 is: 105,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,858.81 : 165,311.69 = 76,842.41 : x
  2. Step 2: Convert to fraction form
    119,858.81/165,311.69 = 76,842.41/x
  3. Step 3: Cross multiply
    119,858.81x = 165,311.69 × 76,842.41
  4. Step 4: Simplify right side
    119,858.81x = 12,702,947,450.00
  5. Step 5: Solve for x
    x = 12,702,947,450.00/119,858.81
  6. Step 6: Final answer
    x = 105,982.60

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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.