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Finding the Fourth Proportional to 203,113.88, 304,711.82 and 139,964.25

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Solution

The fourth proportional to 203,113.88, 304,711.82 and 139,964.25 is: 209,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,113.88 : 304,711.82 = 139,964.25 : x
  2. Step 2: Convert to fraction form
    203,113.88/304,711.82 = 139,964.25/x
  3. Step 3: Cross multiply
    203,113.88x = 304,711.82 × 139,964.25
  4. Step 4: Simplify right side
    203,113.88x = 42,648,763,107.45
  5. Step 5: Solve for x
    x = 42,648,763,107.45/203,113.88
  6. Step 6: Final answer
    x = 209,974.64

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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.