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Finding the Fourth Proportional to 119,874.31, 165,333.07 and 76,857.91

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Solution

The fourth proportional to 119,874.31, 165,333.07 and 76,857.91 is: 106,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,874.31 : 165,333.07 = 76,857.91 : x
  2. Step 2: Convert to fraction form
    119,874.31/165,333.07 = 76,857.91/x
  3. Step 3: Cross multiply
    119,874.31x = 165,333.07 × 76,857.91
  4. Step 4: Simplify right side
    119,874.31x = 12,707,154,214.08
  5. Step 5: Solve for x
    x = 12,707,154,214.08/119,874.31
  6. Step 6: Final answer
    x = 106,003.98

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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.