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Finding the Fourth Proportional to 137,286.70, 205,711.35 and 101,857.30

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Solution

The fourth proportional to 137,286.70, 205,711.35 and 101,857.30 is: 152,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.70 : 205,711.35 = 101,857.30 : x
  2. Step 2: Convert to fraction form
    137,286.70/205,711.35 = 101,857.30/x
  3. Step 3: Cross multiply
    137,286.70x = 205,711.35 × 101,857.30
  4. Step 4: Simplify right side
    137,286.70x = 20,953,202,690.36
  5. Step 5: Solve for x
    x = 20,953,202,690.36/137,286.70
  6. Step 6: Final answer
    x = 152,623.69

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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.