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Finding the Fourth Proportional to 181,806.30, 272,709.45 and 57,147.30

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Solution

The fourth proportional to 181,806.30, 272,709.45 and 57,147.30 is: 85,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,806.30 : 272,709.45 = 57,147.30 : x
  2. Step 2: Convert to fraction form
    181,806.30/272,709.45 = 57,147.30/x
  3. Step 3: Cross multiply
    181,806.30x = 272,709.45 × 57,147.30
  4. Step 4: Simplify right side
    181,806.30x = 15,584,608,751.99
  5. Step 5: Solve for x
    x = 15,584,608,751.99/181,806.30
  6. Step 6: Final answer
    x = 85,720.95

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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.