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Finding the Fourth Proportional to 133,887.36, 200,821.28 and 54,980.16

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Solution

The fourth proportional to 133,887.36, 200,821.28 and 54,980.16 is: 82,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,887.36 : 200,821.28 = 54,980.16 : x
  2. Step 2: Convert to fraction form
    133,887.36/200,821.28 = 54,980.16/x
  3. Step 3: Cross multiply
    133,887.36x = 200,821.28 × 54,980.16
  4. Step 4: Simplify right side
    133,887.36x = 11,041,186,105.80
  5. Step 5: Solve for x
    x = 11,041,186,105.80/133,887.36
  6. Step 6: Final answer
    x = 82,466.23

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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.