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Finding the Fourth Proportional to 86,893, 119,912.34 and 47,149

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Solution

The fourth proportional to 86,893, 119,912.34 and 47,149 is: 65,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,893 : 119,912.34 = 47,149 : x
  2. Step 2: Convert to fraction form
    86,893/119,912.34 = 47,149/x
  3. Step 3: Cross multiply
    86,893x = 119,912.34 × 47,149
  4. Step 4: Simplify right side
    86,893x = 5,653,746,918.66
  5. Step 5: Solve for x
    x = 5,653,746,918.66/86,893
  6. Step 6: Final answer
    x = 65,065.62

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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.