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Finding the Fourth Proportional to 205,202.70, 307,901.46 and 142,119.90

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Solution

The fourth proportional to 205,202.70, 307,901.46 and 142,119.90 is: 213,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,202.70 : 307,901.46 = 142,119.90 : x
  2. Step 2: Convert to fraction form
    205,202.70/307,901.46 = 142,119.90/x
  3. Step 3: Cross multiply
    205,202.70x = 307,901.46 × 142,119.90
  4. Step 4: Simplify right side
    205,202.70x = 43,758,924,705.05
  5. Step 5: Solve for x
    x = 43,758,924,705.05/205,202.70
  6. Step 6: Final answer
    x = 213,247.31

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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.