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Finding the Fourth Proportional to 137,280,285.50, 189,450,493.56 and 80,768,976.11

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Solution

The fourth proportional to 137,280,285.50, 189,450,493.56 and 80,768,976.11 is: 111,463,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280,285.50 : 189,450,493.56 = 80,768,976.11 : x
  2. Step 2: Convert to fraction form
    137,280,285.50/189,450,493.56 = 80,768,976.11/x
  3. Step 3: Cross multiply
    137,280,285.50x = 189,450,493.56 × 80,768,976.11
  4. Step 4: Simplify right side
    137,280,285.50x = 15,301,722,388,375,348
  5. Step 5: Solve for x
    x = 15,301,722,388,375,348/137,280,285.50
  6. Step 6: Final answer
    x = 111,463,363.68

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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.