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Finding the Fourth Proportional to 272,034.60, 407,767.18 and 103,449.56

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Solution

The fourth proportional to 272,034.60, 407,767.18 and 103,449.56 is: 155,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,034.60 : 407,767.18 = 103,449.56 : x
  2. Step 2: Convert to fraction form
    272,034.60/407,767.18 = 103,449.56/x
  3. Step 3: Cross multiply
    272,034.60x = 407,767.18 × 103,449.56
  4. Step 4: Simplify right side
    272,034.60x = 42,183,335,353.44
  5. Step 5: Solve for x
    x = 42,183,335,353.44/272,034.60
  6. Step 6: Final answer
    x = 155,066.07

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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.