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Finding the Fourth Proportional to 86,908, 119,933.04 and 47,164

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Solution

The fourth proportional to 86,908, 119,933.04 and 47,164 is: 65,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,908 : 119,933.04 = 47,164 : x
  2. Step 2: Convert to fraction form
    86,908/119,933.04 = 47,164/x
  3. Step 3: Cross multiply
    86,908x = 119,933.04 × 47,164
  4. Step 4: Simplify right side
    86,908x = 5,656,521,898.56
  5. Step 5: Solve for x
    x = 5,656,521,898.56/86,908
  6. Step 6: Final answer
    x = 65,086.32

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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.