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Finding the Fourth Proportional to 154,906.58, 213,769.07 and 86,924.90

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Solution

The fourth proportional to 154,906.58, 213,769.07 and 86,924.90 is: 119,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,906.58 : 213,769.07 = 86,924.90 : x
  2. Step 2: Convert to fraction form
    154,906.58/213,769.07 = 86,924.90/x
  3. Step 3: Cross multiply
    154,906.58x = 213,769.07 × 86,924.90
  4. Step 4: Simplify right side
    154,906.58x = 18,581,854,745.11
  5. Step 5: Solve for x
    x = 18,581,854,745.11/154,906.58
  6. Step 6: Final answer
    x = 119,955.23

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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.