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Finding the Fourth Proportional to 272,709.70, 409,064.55 and 85,721.20

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Solution

The fourth proportional to 272,709.70, 409,064.55 and 85,721.20 is: 128,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,709.70 : 409,064.55 = 85,721.20 : x
  2. Step 2: Convert to fraction form
    272,709.70/409,064.55 = 85,721.20/x
  3. Step 3: Cross multiply
    272,709.70x = 409,064.55 × 85,721.20
  4. Step 4: Simplify right side
    272,709.70x = 35,065,504,103.46
  5. Step 5: Solve for x
    x = 35,065,504,103.46/272,709.70
  6. Step 6: Final answer
    x = 128,581.80

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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.