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Finding the Fourth Proportional to 119,820.70, 165,353.12 and 66,105.70

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Solution

The fourth proportional to 119,820.70, 165,353.12 and 66,105.70 is: 91,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,820.70 : 165,353.12 = 66,105.70 : x
  2. Step 2: Convert to fraction form
    119,820.70/165,353.12 = 66,105.70/x
  3. Step 3: Cross multiply
    119,820.70x = 165,353.12 × 66,105.70
  4. Step 4: Simplify right side
    119,820.70x = 10,930,783,744.78
  5. Step 5: Solve for x
    x = 10,930,783,744.78/119,820.70
  6. Step 6: Final answer
    x = 91,226.17

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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.