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Finding the Fourth Proportional to 272,776, 409,169.12 and 75,789.12

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Solution

The fourth proportional to 272,776, 409,169.12 and 75,789.12 is: 113,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,776 : 409,169.12 = 75,789.12 : x
  2. Step 2: Convert to fraction form
    272,776/409,169.12 = 75,789.12/x
  3. Step 3: Cross multiply
    272,776x = 409,169.12 × 75,789.12
  4. Step 4: Simplify right side
    272,776x = 31,010,567,535.97
  5. Step 5: Solve for x
    x = 31,010,567,535.97/272,776
  6. Step 6: Final answer
    x = 113,685.10

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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.