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Finding the Fourth Proportional to 119,900, 165,462 and 66,908

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Solution

The fourth proportional to 119,900, 165,462 and 66,908 is: 92,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,900 : 165,462 = 66,908 : x
  2. Step 2: Convert to fraction form
    119,900/165,462 = 66,908/x
  3. Step 3: Cross multiply
    119,900x = 165,462 × 66,908
  4. Step 4: Simplify right side
    119,900x = 11,070,731,496
  5. Step 5: Solve for x
    x = 11,070,731,496/119,900
  6. Step 6: Final answer
    x = 92,333.04

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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.