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Finding the Fourth Proportional to 154,858.45, 213,720.84 and 86,893.78

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Solution

The fourth proportional to 154,858.45, 213,720.84 and 86,893.78 is: 119,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,858.45 : 213,720.84 = 86,893.78 : x
  2. Step 2: Convert to fraction form
    154,858.45/213,720.84 = 86,893.78/x
  3. Step 3: Cross multiply
    154,858.45x = 213,720.84 × 86,893.78
  4. Step 4: Simplify right side
    154,858.45x = 18,571,011,652.38
  5. Step 5: Solve for x
    x = 18,571,011,652.38/154,858.45
  6. Step 6: Final answer
    x = 119,922.49

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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.