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Finding the Fourth Proportional to 259,735.36, 389,617.86 and 72,761.44

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Solution

The fourth proportional to 259,735.36, 389,617.86 and 72,761.44 is: 109,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,735.36 : 389,617.86 = 72,761.44 : x
  2. Step 2: Convert to fraction form
    259,735.36/389,617.86 = 72,761.44/x
  3. Step 3: Cross multiply
    259,735.36x = 389,617.86 × 72,761.44
  4. Step 4: Simplify right side
    259,735.36x = 28,349,156,543.32
  5. Step 5: Solve for x
    x = 28,349,156,543.32/259,735.36
  6. Step 6: Final answer
    x = 109,146.31

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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.