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Finding the Fourth Proportional to 133,287.06, 183,936.15 and 72,857.96

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Solution

The fourth proportional to 133,287.06, 183,936.15 and 72,857.96 is: 100,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,287.06 : 183,936.15 = 72,857.96 : x
  2. Step 2: Convert to fraction form
    133,287.06/183,936.15 = 72,857.96/x
  3. Step 3: Cross multiply
    133,287.06x = 183,936.15 × 72,857.96
  4. Step 4: Simplify right side
    133,287.06x = 13,401,211,375.28
  5. Step 5: Solve for x
    x = 13,401,211,375.28/133,287.06
  6. Step 6: Final answer
    x = 100,543.98

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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.