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Finding the Fourth Proportional to 119,914, 165,483.96 and 66,198.88

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Solution

The fourth proportional to 119,914, 165,483.96 and 66,198.88 is: 91,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,914 : 165,483.96 = 66,198.88 : x
  2. Step 2: Convert to fraction form
    119,914/165,483.96 = 66,198.88/x
  3. Step 3: Cross multiply
    119,914x = 165,483.96 × 66,198.88
  4. Step 4: Simplify right side
    119,914x = 10,954,852,809.96
  5. Step 5: Solve for x
    x = 10,954,852,809.96/119,914
  6. Step 6: Final answer
    x = 91,355.91

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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.