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Finding the Fourth Proportional to 86,176.86, 118,891.34 and 53,456.09

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Solution

The fourth proportional to 86,176.86, 118,891.34 and 53,456.09 is: 73,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,176.86 : 118,891.34 = 53,456.09 : x
  2. Step 2: Convert to fraction form
    86,176.86/118,891.34 = 53,456.09/x
  3. Step 3: Cross multiply
    86,176.86x = 118,891.34 × 53,456.09
  4. Step 4: Simplify right side
    86,176.86x = 6,355,466,227.68
  5. Step 5: Solve for x
    x = 6,355,466,227.68/86,176.86
  6. Step 6: Final answer
    x = 73,749.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.