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Finding the Fourth Proportional to 201,943.86, 278,671.15 and 111,299.55

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Solution

The fourth proportional to 201,943.86, 278,671.15 and 111,299.55 is: 153,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.86 : 278,671.15 = 111,299.55 : x
  2. Step 2: Convert to fraction form
    201,943.86/278,671.15 = 111,299.55/x
  3. Step 3: Cross multiply
    201,943.86x = 278,671.15 × 111,299.55
  4. Step 4: Simplify right side
    201,943.86x = 31,015,972,687.09
  5. Step 5: Solve for x
    x = 31,015,972,687.09/201,943.86
  6. Step 6: Final answer
    x = 153,587.11

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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.