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Finding the Fourth Proportional to 107,267.42, 160,944.87 and 86,403.44

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Solution

The fourth proportional to 107,267.42, 160,944.87 and 86,403.44 is: 129,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,267.42 : 160,944.87 = 86,403.44 : x
  2. Step 2: Convert to fraction form
    107,267.42/160,944.87 = 86,403.44/x
  3. Step 3: Cross multiply
    107,267.42x = 160,944.87 × 86,403.44
  4. Step 4: Simplify right side
    107,267.42x = 13,906,190,418.35
  5. Step 5: Solve for x
    x = 13,906,190,418.35/107,267.42
  6. Step 6: Final answer
    x = 129,640.39

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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.