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Finding the Fourth Proportional to 119,709, 165,190.68 and 65,994.48

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Solution

The fourth proportional to 119,709, 165,190.68 and 65,994.48 is: 91,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,709 : 165,190.68 = 65,994.48 : x
  2. Step 2: Convert to fraction form
    119,709/165,190.68 = 65,994.48/x
  3. Step 3: Cross multiply
    119,709x = 165,190.68 × 65,994.48
  4. Step 4: Simplify right side
    119,709x = 10,901,673,027.45
  5. Step 5: Solve for x
    x = 10,901,673,027.45/119,709
  6. Step 6: Final answer
    x = 91,068.12

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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.