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Finding the Fourth Proportional to 119,886, 165,442.68 and 66,894

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Solution

The fourth proportional to 119,886, 165,442.68 and 66,894 is: 92,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,886 : 165,442.68 = 66,894 : x
  2. Step 2: Convert to fraction form
    119,886/165,442.68 = 66,894/x
  3. Step 3: Cross multiply
    119,886x = 165,442.68 × 66,894
  4. Step 4: Simplify right side
    119,886x = 11,067,122,635.92
  5. Step 5: Solve for x
    x = 11,067,122,635.92/119,886
  6. Step 6: Final answer
    x = 92,313.72

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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.