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Finding the Fourth Proportional to 136,469.40, 188,184.24 and 107,741.40

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Solution

The fourth proportional to 136,469.40, 188,184.24 and 107,741.40 is: 148,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,469.40 : 188,184.24 = 107,741.40 : x
  2. Step 2: Convert to fraction form
    136,469.40/188,184.24 = 107,741.40/x
  3. Step 3: Cross multiply
    136,469.40x = 188,184.24 × 107,741.40
  4. Step 4: Simplify right side
    136,469.40x = 20,275,233,475.54
  5. Step 5: Solve for x
    x = 20,275,233,475.54/136,469.40
  6. Step 6: Final answer
    x = 148,569.81

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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.