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Finding the Fourth Proportional to 86,908.47, 119,933.68 and 47,164.47

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Solution

The fourth proportional to 86,908.47, 119,933.68 and 47,164.47 is: 65,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,908.47 : 119,933.68 = 47,164.47 : x
  2. Step 2: Convert to fraction form
    86,908.47/119,933.68 = 47,164.47/x
  3. Step 3: Cross multiply
    86,908.47x = 119,933.68 × 47,164.47
  4. Step 4: Simplify right side
    86,908.47x = 5,656,608,452.35
  5. Step 5: Solve for x
    x = 5,656,608,452.35/86,908.47
  6. Step 6: Final answer
    x = 65,086.96

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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.