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Finding the Fourth Proportional to 119,703.54, 165,183.48 and 65,985.78

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Solution

The fourth proportional to 119,703.54, 165,183.48 and 65,985.78 is: 91,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,703.54 : 165,183.48 = 65,985.78 : x
  2. Step 2: Convert to fraction form
    119,703.54/165,183.48 = 65,985.78/x
  3. Step 3: Cross multiply
    119,703.54x = 165,183.48 × 65,985.78
  4. Step 4: Simplify right side
    119,703.54x = 10,899,760,770.91
  5. Step 5: Solve for x
    x = 10,899,760,770.91/119,703.54
  6. Step 6: Final answer
    x = 91,056.29

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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.