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Finding the Fourth Proportional to 133,722.96, 200,449.36 and 83,838.07

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Solution

The fourth proportional to 133,722.96, 200,449.36 and 83,838.07 is: 125,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.96 : 200,449.36 = 83,838.07 : x
  2. Step 2: Convert to fraction form
    133,722.96/200,449.36 = 83,838.07/x
  3. Step 3: Cross multiply
    133,722.96x = 200,449.36 × 83,838.07
  4. Step 4: Simplify right side
    133,722.96x = 16,805,287,475.14
  5. Step 5: Solve for x
    x = 16,805,287,475.14/133,722.96
  6. Step 6: Final answer
    x = 125,672.42

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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.