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Finding the Fourth Proportional to 270,589.72, 405,770.43 and 81,077.02

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Solution

The fourth proportional to 270,589.72, 405,770.43 and 81,077.02 is: 121,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,589.72 : 405,770.43 = 81,077.02 : x
  2. Step 2: Convert to fraction form
    270,589.72/405,770.43 = 81,077.02/x
  3. Step 3: Cross multiply
    270,589.72x = 405,770.43 × 81,077.02
  4. Step 4: Simplify right side
    270,589.72x = 32,898,657,268.52
  5. Step 5: Solve for x
    x = 32,898,657,268.52/270,589.72
  6. Step 6: Final answer
    x = 121,581.33

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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.