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Finding the Fourth Proportional to 147,973, 204,202.74 and 80,905

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Solution

The fourth proportional to 147,973, 204,202.74 and 80,905 is: 111,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,973 : 204,202.74 = 80,905 : x
  2. Step 2: Convert to fraction form
    147,973/204,202.74 = 80,905/x
  3. Step 3: Cross multiply
    147,973x = 204,202.74 × 80,905
  4. Step 4: Simplify right side
    147,973x = 16,521,022,679.70
  5. Step 5: Solve for x
    x = 16,521,022,679.70/147,973
  6. Step 6: Final answer
    x = 111,648.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.