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Finding the Fourth Proportional to 133,021.20, 199,531.80 and 83,254.80

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Solution

The fourth proportional to 133,021.20, 199,531.80 and 83,254.80 is: 124,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,021.20 : 199,531.80 = 83,254.80 : x
  2. Step 2: Convert to fraction form
    133,021.20/199,531.80 = 83,254.80/x
  3. Step 3: Cross multiply
    133,021.20x = 199,531.80 × 83,254.80
  4. Step 4: Simplify right side
    133,021.20x = 16,611,980,102.64
  5. Step 5: Solve for x
    x = 16,611,980,102.64/133,021.20
  6. Step 6: Final answer
    x = 124,882.20

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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.