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Finding the Fourth Proportional to 203,830.20, 305,730.90 and 70,678.20

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Solution

The fourth proportional to 203,830.20, 305,730.90 and 70,678.20 is: 106,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,830.20 : 305,730.90 = 70,678.20 : x
  2. Step 2: Convert to fraction form
    203,830.20/305,730.90 = 70,678.20/x
  3. Step 3: Cross multiply
    203,830.20x = 305,730.90 × 70,678.20
  4. Step 4: Simplify right side
    203,830.20x = 21,608,509,696.38
  5. Step 5: Solve for x
    x = 21,608,509,696.38/203,830.20
  6. Step 6: Final answer
    x = 106,012.31

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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.