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Finding the Fourth Proportional to 119,901, 165,463.38 and 66,909

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Solution

The fourth proportional to 119,901, 165,463.38 and 66,909 is: 92,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,901 : 165,463.38 = 66,909 : x
  2. Step 2: Convert to fraction form
    119,901/165,463.38 = 66,909/x
  3. Step 3: Cross multiply
    119,901x = 165,463.38 × 66,909
  4. Step 4: Simplify right side
    119,901x = 11,070,989,292.42
  5. Step 5: Solve for x
    x = 11,070,989,292.42/119,901
  6. Step 6: Final answer
    x = 92,334.42

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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.