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Finding the Fourth Proportional to 86,840, 119,839.36 and 47,096

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Solution

The fourth proportional to 86,840, 119,839.36 and 47,096 is: 64,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,840 : 119,839.36 = 47,096 : x
  2. Step 2: Convert to fraction form
    86,840/119,839.36 = 47,096/x
  3. Step 3: Cross multiply
    86,840x = 119,839.36 × 47,096
  4. Step 4: Simplify right side
    86,840x = 5,643,954,498.56
  5. Step 5: Solve for x
    x = 5,643,954,498.56/86,840
  6. Step 6: Final answer
    x = 64,992.57

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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.