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Finding the Fourth Proportional to 119,660.51, 165,131.54 and 65,212.70

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Solution

The fourth proportional to 119,660.51, 165,131.54 and 65,212.70 is: 89,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,660.51 : 165,131.54 = 65,212.70 : x
  2. Step 2: Convert to fraction form
    119,660.51/165,131.54 = 65,212.70/x
  3. Step 3: Cross multiply
    119,660.51x = 165,131.54 × 65,212.70
  4. Step 4: Simplify right side
    119,660.51x = 10,768,672,426.84
  5. Step 5: Solve for x
    x = 10,768,672,426.84/119,660.51
  6. Step 6: Final answer
    x = 89,993.54

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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.