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Finding the Fourth Proportional to 201,970.82, 278,725.63 and 111,327.87

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Solution

The fourth proportional to 201,970.82, 278,725.63 and 111,327.87 is: 153,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.82 : 278,725.63 = 111,327.87 : x
  2. Step 2: Convert to fraction form
    201,970.82/278,725.63 = 111,327.87/x
  3. Step 3: Cross multiply
    201,970.82x = 278,725.63 × 111,327.87
  4. Step 4: Simplify right side
    201,970.82x = 31,029,930,423.23
  5. Step 5: Solve for x
    x = 31,029,930,423.23/201,970.82
  6. Step 6: Final answer
    x = 153,635.71

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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.