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Finding the Fourth Proportional to 132,728, 183,164.64 and 73,112

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Solution

The fourth proportional to 132,728, 183,164.64 and 73,112 is: 100,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,728 : 183,164.64 = 73,112 : x
  2. Step 2: Convert to fraction form
    132,728/183,164.64 = 73,112/x
  3. Step 3: Cross multiply
    132,728x = 183,164.64 × 73,112
  4. Step 4: Simplify right side
    132,728x = 13,391,533,159.68
  5. Step 5: Solve for x
    x = 13,391,533,159.68/132,728
  6. Step 6: Final answer
    x = 100,894.56

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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.