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Finding the Fourth Proportional to 86,418.78, 119,257.92 and 46,674.78

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Solution

The fourth proportional to 86,418.78, 119,257.92 and 46,674.78 is: 64,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418.78 : 119,257.92 = 46,674.78 : x
  2. Step 2: Convert to fraction form
    86,418.78/119,257.92 = 46,674.78/x
  3. Step 3: Cross multiply
    86,418.78x = 119,257.92 × 46,674.78
  4. Step 4: Simplify right side
    86,418.78x = 5,566,337,179.26
  5. Step 5: Solve for x
    x = 5,566,337,179.26/86,418.78
  6. Step 6: Final answer
    x = 64,411.20

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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.