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Finding the Fourth Proportional to 201,636.42, 278,256.12 and 110,990.43

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Solution

The fourth proportional to 201,636.42, 278,256.12 and 110,990.43 is: 153,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636.42 : 278,256.12 = 110,990.43 : x
  2. Step 2: Convert to fraction form
    201,636.42/278,256.12 = 110,990.43/x
  3. Step 3: Cross multiply
    201,636.42x = 278,256.12 × 110,990.43
  4. Step 4: Simplify right side
    201,636.42x = 30,883,766,408.93
  5. Step 5: Solve for x
    x = 30,883,766,408.93/201,636.42
  6. Step 6: Final answer
    x = 153,165.62

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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.