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Finding the Fourth Proportional to 133,640.16, 200,285.28 and 54,661.92

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Solution

The fourth proportional to 133,640.16, 200,285.28 and 54,661.92 is: 81,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640.16 : 200,285.28 = 54,661.92 : x
  2. Step 2: Convert to fraction form
    133,640.16/200,285.28 = 54,661.92/x
  3. Step 3: Cross multiply
    133,640.16x = 200,285.28 × 54,661.92
  4. Step 4: Simplify right side
    133,640.16x = 10,947,977,952.54
  5. Step 5: Solve for x
    x = 10,947,977,952.54/133,640.16
  6. Step 6: Final answer
    x = 81,921.32

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1.5x scale

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.