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Finding the Fourth Proportional to 136,961.28, 188,991.36 and 77,345.28

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Solution

The fourth proportional to 136,961.28, 188,991.36 and 77,345.28 is: 106,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,961.28 : 188,991.36 = 77,345.28 : x
  2. Step 2: Convert to fraction form
    136,961.28/188,991.36 = 77,345.28/x
  3. Step 3: Cross multiply
    136,961.28x = 188,991.36 × 77,345.28
  4. Step 4: Simplify right side
    136,961.28x = 14,617,589,656.78
  5. Step 5: Solve for x
    x = 14,617,589,656.78/136,961.28
  6. Step 6: Final answer
    x = 106,727.90

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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.