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Finding the Fourth Proportional to 201,850, 278,541.94 and 111,188.20

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Solution

The fourth proportional to 201,850, 278,541.94 and 111,188.20 is: 153,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850 : 278,541.94 = 111,188.20 : x
  2. Step 2: Convert to fraction form
    201,850/278,541.94 = 111,188.20/x
  3. Step 3: Cross multiply
    201,850x = 278,541.94 × 111,188.20
  4. Step 4: Simplify right side
    201,850x = 30,970,576,933.11
  5. Step 5: Solve for x
    x = 30,970,576,933.11/201,850
  6. Step 6: Final answer
    x = 153,433.62

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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.