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Finding the Fourth Proportional to 138,409.64, 189,759.61 and 135,887.40

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Solution

The fourth proportional to 138,409.64, 189,759.61 and 135,887.40 is: 186,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.64 : 189,759.61 = 135,887.40 : x
  2. Step 2: Convert to fraction form
    138,409.64/189,759.61 = 135,887.40/x
  3. Step 3: Cross multiply
    138,409.64x = 189,759.61 × 135,887.40
  4. Step 4: Simplify right side
    138,409.64x = 25,785,940,027.91
  5. Step 5: Solve for x
    x = 25,785,940,027.91/138,409.64
  6. Step 6: Final answer
    x = 186,301.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.