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Finding the Fourth Proportional to 85,819, 128,728.68 and 36,571

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Solution

The fourth proportional to 85,819, 128,728.68 and 36,571 is: 54,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,819 : 128,728.68 = 36,571 : x
  2. Step 2: Convert to fraction form
    85,819/128,728.68 = 36,571/x
  3. Step 3: Cross multiply
    85,819x = 128,728.68 × 36,571
  4. Step 4: Simplify right side
    85,819x = 4,707,736,556.28
  5. Step 5: Solve for x
    x = 4,707,736,556.28/85,819
  6. Step 6: Final answer
    x = 54,856.58

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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.