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Finding the Fourth Proportional to 136,441.92, 188,303.72 and 76,022.40

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Solution

The fourth proportional to 136,441.92, 188,303.72 and 76,022.40 is: 104,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,441.92 : 188,303.72 = 76,022.40 : x
  2. Step 2: Convert to fraction form
    136,441.92/188,303.72 = 76,022.40/x
  3. Step 3: Cross multiply
    136,441.92x = 188,303.72 × 76,022.40
  4. Step 4: Simplify right side
    136,441.92x = 14,315,300,723.33
  5. Step 5: Solve for x
    x = 14,315,300,723.33/136,441.92
  6. Step 6: Final answer
    x = 104,918.64

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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.