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Finding the Fourth Proportional to 136,687.40, 205,184.70 and 105,660.20

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Solution

The fourth proportional to 136,687.40, 205,184.70 and 105,660.20 is: 158,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,687.40 : 205,184.70 = 105,660.20 : x
  2. Step 2: Convert to fraction form
    136,687.40/205,184.70 = 105,660.20/x
  3. Step 3: Cross multiply
    136,687.40x = 205,184.70 × 105,660.20
  4. Step 4: Simplify right side
    136,687.40x = 21,679,856,438.94
  5. Step 5: Solve for x
    x = 21,679,856,438.94/136,687.40
  6. Step 6: Final answer
    x = 158,609.03

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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.