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Finding the Fourth Proportional to 133,730.80, 200,693.40 and 54,901.60

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Solution

The fourth proportional to 133,730.80, 200,693.40 and 54,901.60 is: 82,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730.80 : 200,693.40 = 54,901.60 : x
  2. Step 2: Convert to fraction form
    133,730.80/200,693.40 = 54,901.60/x
  3. Step 3: Cross multiply
    133,730.80x = 200,693.40 × 54,901.60
  4. Step 4: Simplify right side
    133,730.80x = 11,018,388,769.44
  5. Step 5: Solve for x
    x = 11,018,388,769.44/133,730.80
  6. Step 6: Final answer
    x = 82,392.30

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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.