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Finding the Fourth Proportional to 133,686.80, 200,643.60 and 54,857.60

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Solution

The fourth proportional to 133,686.80, 200,643.60 and 54,857.60 is: 82,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,686.80 : 200,643.60 = 54,857.60 : x
  2. Step 2: Convert to fraction form
    133,686.80/200,643.60 = 54,857.60/x
  3. Step 3: Cross multiply
    133,686.80x = 200,643.60 × 54,857.60
  4. Step 4: Simplify right side
    133,686.80x = 11,006,826,351.36
  5. Step 5: Solve for x
    x = 11,006,826,351.36/133,686.80
  6. Step 6: Final answer
    x = 82,332.93

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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.