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Finding the Fourth Proportional to 133,286.42, 183,935.24 and 72,857.30

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Solution

The fourth proportional to 133,286.42, 183,935.24 and 72,857.30 is: 100,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,286.42 : 183,935.24 = 72,857.30 : x
  2. Step 2: Convert to fraction form
    133,286.42/183,935.24 = 72,857.30/x
  3. Step 3: Cross multiply
    133,286.42x = 183,935.24 × 72,857.30
  4. Step 4: Simplify right side
    133,286.42x = 13,401,024,596.97
  5. Step 5: Solve for x
    x = 13,401,024,596.97/133,286.42
  6. Step 6: Final answer
    x = 100,543.06

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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.