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Finding the Fourth Proportional to 86,815, 119,805.42 and 47,071

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Solution

The fourth proportional to 86,815, 119,805.42 and 47,071 is: 64,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815 : 119,805.42 = 47,071 : x
  2. Step 2: Convert to fraction form
    86,815/119,805.42 = 47,071/x
  3. Step 3: Cross multiply
    86,815x = 119,805.42 × 47,071
  4. Step 4: Simplify right side
    86,815x = 5,639,360,924.82
  5. Step 5: Solve for x
    x = 5,639,360,924.82/86,815
  6. Step 6: Final answer
    x = 64,958.37

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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.