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Finding the Fourth Proportional to 201,898.37, 278,631.97 and 111,254.18

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Solution

The fourth proportional to 201,898.37, 278,631.97 and 111,254.18 is: 153,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,898.37 : 278,631.97 = 111,254.18 : x
  2. Step 2: Convert to fraction form
    201,898.37/278,631.97 = 111,254.18/x
  3. Step 3: Cross multiply
    201,898.37x = 278,631.97 × 111,254.18
  4. Step 4: Simplify right side
    201,898.37x = 30,998,969,672.84
  5. Step 5: Solve for x
    x = 30,998,969,672.84/201,898.37
  6. Step 6: Final answer
    x = 153,537.49

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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.