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Finding the Fourth Proportional to 201,970.44, 278,709.30 and 111,331.44

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Solution

The fourth proportional to 201,970.44, 278,709.30 and 111,331.44 is: 153,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.44 : 278,709.30 = 111,331.44 : x
  2. Step 2: Convert to fraction form
    201,970.44/278,709.30 = 111,331.44/x
  3. Step 3: Cross multiply
    201,970.44x = 278,709.30 × 111,331.44
  4. Step 4: Simplify right side
    201,970.44x = 31,029,107,710.39
  5. Step 5: Solve for x
    x = 31,029,107,710.39/201,970.44
  6. Step 6: Final answer
    x = 153,631.93

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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.