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Finding the Fourth Proportional to 119,898, 165,459.24 and 66,906

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Solution

The fourth proportional to 119,898, 165,459.24 and 66,906 is: 92,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,898 : 165,459.24 = 66,906 : x
  2. Step 2: Convert to fraction form
    119,898/165,459.24 = 66,906/x
  3. Step 3: Cross multiply
    119,898x = 165,459.24 × 66,906
  4. Step 4: Simplify right side
    119,898x = 11,070,215,911.44
  5. Step 5: Solve for x
    x = 11,070,215,911.44/119,898
  6. Step 6: Final answer
    x = 92,330.28

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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.