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Finding the Fourth Proportional to 201,939.61, 278,665.31 and 111,295.30

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Solution

The fourth proportional to 201,939.61, 278,665.31 and 111,295.30 is: 153,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,939.61 : 278,665.31 = 111,295.30 : x
  2. Step 2: Convert to fraction form
    201,939.61/278,665.31 = 111,295.30/x
  3. Step 3: Cross multiply
    201,939.61x = 278,665.31 × 111,295.30
  4. Step 4: Simplify right side
    201,939.61x = 31,014,137,326.24
  5. Step 5: Solve for x
    x = 31,014,137,326.24/201,939.61
  6. Step 6: Final answer
    x = 153,581.25

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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.