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Finding the Fourth Proportional to 154,422.73, 213,106.97 and 86,438.01

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Solution

The fourth proportional to 154,422.73, 213,106.97 and 86,438.01 is: 119,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422.73 : 213,106.97 = 86,438.01 : x
  2. Step 2: Convert to fraction form
    154,422.73/213,106.97 = 86,438.01/x
  3. Step 3: Cross multiply
    154,422.73x = 213,106.97 × 86,438.01
  4. Step 4: Simplify right side
    154,422.73x = 18,420,542,403.93
  5. Step 5: Solve for x
    x = 18,420,542,403.93/154,422.73
  6. Step 6: Final answer
    x = 119,286.47

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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.