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Finding the Fourth Proportional to 272,758.32, 409,201.83 and 85,769.82

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Solution

The fourth proportional to 272,758.32, 409,201.83 and 85,769.82 is: 128,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,758.32 : 409,201.83 = 85,769.82 : x
  2. Step 2: Convert to fraction form
    272,758.32/409,201.83 = 85,769.82/x
  3. Step 3: Cross multiply
    272,758.32x = 409,201.83 × 85,769.82
  4. Step 4: Simplify right side
    272,758.32x = 35,097,167,302.77
  5. Step 5: Solve for x
    x = 35,097,167,302.77/272,758.32
  6. Step 6: Final answer
    x = 128,674.97

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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.