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Finding the Fourth Proportional to 201,738.31, 278,305.40 and 130,141.40

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Solution

The fourth proportional to 201,738.31, 278,305.40 and 130,141.40 is: 179,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738.31 : 278,305.40 = 130,141.40 : x
  2. Step 2: Convert to fraction form
    201,738.31/278,305.40 = 130,141.40/x
  3. Step 3: Cross multiply
    201,738.31x = 278,305.40 × 130,141.40
  4. Step 4: Simplify right side
    201,738.31x = 36,219,053,317.39
  5. Step 5: Solve for x
    x = 36,219,053,317.39/201,738.31
  6. Step 6: Final answer
    x = 179,534.83

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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.