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Finding the Fourth Proportional to 86,907.47, 119,932.31 and 47,163.47

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Solution

The fourth proportional to 86,907.47, 119,932.31 and 47,163.47 is: 65,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,907.47 : 119,932.31 = 47,163.47 : x
  2. Step 2: Convert to fraction form
    86,907.47/119,932.31 = 47,163.47/x
  3. Step 3: Cross multiply
    86,907.47x = 119,932.31 × 47,163.47
  4. Step 4: Simplify right side
    86,907.47x = 5,656,423,968.73
  5. Step 5: Solve for x
    x = 5,656,423,968.73/86,907.47
  6. Step 6: Final answer
    x = 65,085.59

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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.