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Finding the Fourth Proportional to 133,238.84, 183,872 and 72,812.03

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Solution

The fourth proportional to 133,238.84, 183,872 and 72,812.03 is: 100,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,238.84 : 183,872 = 72,812.03 : x
  2. Step 2: Convert to fraction form
    133,238.84/183,872 = 72,812.03/x
  3. Step 3: Cross multiply
    133,238.84x = 183,872 × 72,812.03
  4. Step 4: Simplify right side
    133,238.84x = 13,388,093,580.16
  5. Step 5: Solve for x
    x = 13,388,093,580.16/133,238.84
  6. Step 6: Final answer
    x = 100,481.91

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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.