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Finding the Fourth Proportional to 133,072, 183,639.36 and 73,456

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Solution

The fourth proportional to 133,072, 183,639.36 and 73,456 is: 101,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 183,639.36 = 73,456 : x
  2. Step 2: Convert to fraction form
    133,072/183,639.36 = 73,456/x
  3. Step 3: Cross multiply
    133,072x = 183,639.36 × 73,456
  4. Step 4: Simplify right side
    133,072x = 13,489,412,828.16
  5. Step 5: Solve for x
    x = 13,489,412,828.16/133,072
  6. Step 6: Final answer
    x = 101,369.28

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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.