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Finding the Fourth Proportional to 120,062.81, 165,687.19 and 65,616.09

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Solution

The fourth proportional to 120,062.81, 165,687.19 and 65,616.09 is: 90,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,062.81 : 165,687.19 = 65,616.09 : x
  2. Step 2: Convert to fraction form
    120,062.81/165,687.19 = 65,616.09/x
  3. Step 3: Cross multiply
    120,062.81x = 165,687.19 × 65,616.09
  4. Step 4: Simplify right side
    120,062.81x = 10,871,745,406.85
  5. Step 5: Solve for x
    x = 10,871,745,406.85/120,062.81
  6. Step 6: Final answer
    x = 90,550.49

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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.