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Finding the Fourth Proportional to 154,857.92, 213,720.12 and 86,893.26

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Solution

The fourth proportional to 154,857.92, 213,720.12 and 86,893.26 is: 119,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,857.92 : 213,720.12 = 86,893.26 : x
  2. Step 2: Convert to fraction form
    154,857.92/213,720.12 = 86,893.26/x
  3. Step 3: Cross multiply
    154,857.92x = 213,720.12 × 86,893.26
  4. Step 4: Simplify right side
    154,857.92x = 18,570,837,954.39
  5. Step 5: Solve for x
    x = 18,570,837,954.39/154,857.92
  6. Step 6: Final answer
    x = 119,921.78

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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.