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Finding the Fourth Proportional to 270,719.85, 406,172.03 and 81,184.86

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Solution

The fourth proportional to 270,719.85, 406,172.03 and 81,184.86 is: 121,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,719.85 : 406,172.03 = 81,184.86 : x
  2. Step 2: Convert to fraction form
    270,719.85/406,172.03 = 81,184.86/x
  3. Step 3: Cross multiply
    270,719.85x = 406,172.03 × 81,184.86
  4. Step 4: Simplify right side
    270,719.85x = 32,975,018,414.01
  5. Step 5: Solve for x
    x = 32,975,018,414.01/270,719.85
  6. Step 6: Final answer
    x = 121,804.95

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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.