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Finding the Fourth Proportional to 200,942.56, 277,253.04 and 129,345.76

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Solution

The fourth proportional to 200,942.56, 277,253.04 and 129,345.76 is: 178,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,942.56 : 277,253.04 = 129,345.76 : x
  2. Step 2: Convert to fraction form
    200,942.56/277,253.04 = 129,345.76/x
  3. Step 3: Cross multiply
    200,942.56x = 277,253.04 × 129,345.76
  4. Step 4: Simplify right side
    200,942.56x = 35,861,505,171.11
  5. Step 5: Solve for x
    x = 35,861,505,171.11/200,942.56
  6. Step 6: Final answer
    x = 178,466.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.