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Finding the Fourth Proportional to 134,881.30, 202,321.95 and 82,393.30

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Solution

The fourth proportional to 134,881.30, 202,321.95 and 82,393.30 is: 123,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,881.30 : 202,321.95 = 82,393.30 : x
  2. Step 2: Convert to fraction form
    134,881.30/202,321.95 = 82,393.30/x
  3. Step 3: Cross multiply
    134,881.30x = 202,321.95 × 82,393.30
  4. Step 4: Simplify right side
    134,881.30x = 16,669,973,122.94
  5. Step 5: Solve for x
    x = 16,669,973,122.94/134,881.30
  6. Step 6: Final answer
    x = 123,589.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.