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Finding the Fourth Proportional to 133,660, 200,334.48 and 54,678.52

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Solution

The fourth proportional to 133,660, 200,334.48 and 54,678.52 is: 81,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,660 : 200,334.48 = 54,678.52 : x
  2. Step 2: Convert to fraction form
    133,660/200,334.48 = 54,678.52/x
  3. Step 3: Cross multiply
    133,660x = 200,334.48 × 54,678.52
  4. Step 4: Simplify right side
    133,660x = 10,953,992,871.37
  5. Step 5: Solve for x
    x = 10,953,992,871.37/133,660
  6. Step 6: Final answer
    x = 81,954.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.