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Finding the Fourth Proportional to 272,733.21, 409,164.21 and 85,744.71

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Solution

The fourth proportional to 272,733.21, 409,164.21 and 85,744.71 is: 128,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,733.21 : 409,164.21 = 85,744.71 : x
  2. Step 2: Convert to fraction form
    272,733.21/409,164.21 = 85,744.71/x
  3. Step 3: Cross multiply
    272,733.21x = 409,164.21 × 85,744.71
  4. Step 4: Simplify right side
    272,733.21x = 35,083,664,672.92
  5. Step 5: Solve for x
    x = 35,083,664,672.92/272,733.21
  6. Step 6: Final answer
    x = 128,637.31

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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.