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Finding the Fourth Proportional to 253,739.27, 380,643.89 and 85,272.66

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Solution

The fourth proportional to 253,739.27, 380,643.89 and 85,272.66 is: 127,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,739.27 : 380,643.89 = 85,272.66 : x
  2. Step 2: Convert to fraction form
    253,739.27/380,643.89 = 85,272.66/x
  3. Step 3: Cross multiply
    253,739.27x = 380,643.89 × 85,272.66
  4. Step 4: Simplify right side
    253,739.27x = 32,458,517,226.23
  5. Step 5: Solve for x
    x = 32,458,517,226.23/253,739.27
  6. Step 6: Final answer
    x = 127,920.75

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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.