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Finding the Fourth Proportional to 119,809, 165,336.42 and 66,817

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Solution

The fourth proportional to 119,809, 165,336.42 and 66,817 is: 92,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,809 : 165,336.42 = 66,817 : x
  2. Step 2: Convert to fraction form
    119,809/165,336.42 = 66,817/x
  3. Step 3: Cross multiply
    119,809x = 165,336.42 × 66,817
  4. Step 4: Simplify right side
    119,809x = 11,047,283,575.14
  5. Step 5: Solve for x
    x = 11,047,283,575.14/119,809
  6. Step 6: Final answer
    x = 92,207.46

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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.