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Finding the Fourth Proportional to 151,808.40, 227,348.10 and 81,532.80

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Solution

The fourth proportional to 151,808.40, 227,348.10 and 81,532.80 is: 122,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,808.40 : 227,348.10 = 81,532.80 : x
  2. Step 2: Convert to fraction form
    151,808.40/227,348.10 = 81,532.80/x
  3. Step 3: Cross multiply
    151,808.40x = 227,348.10 × 81,532.80
  4. Step 4: Simplify right side
    151,808.40x = 18,536,327,167.68
  5. Step 5: Solve for x
    x = 18,536,327,167.68/151,808.40
  6. Step 6: Final answer
    x = 122,103.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.