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Finding the Fourth Proportional to 192,478,473.80, 288,734,683.26 and 54,305,289.80

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Solution

The fourth proportional to 192,478,473.80, 288,734,683.26 and 54,305,289.80 is: 81,462,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,478,473.80 : 288,734,683.26 = 54,305,289.80 : x
  2. Step 2: Convert to fraction form
    192,478,473.80/288,734,683.26 = 54,305,289.80/x
  3. Step 3: Cross multiply
    192,478,473.80x = 288,734,683.26 × 54,305,289.80
  4. Step 4: Simplify right side
    192,478,473.80x = 15,679,820,649,745,508
  5. Step 5: Solve for x
    x = 15,679,820,649,745,508/192,478,473.80
  6. Step 6: Final answer
    x = 81,462,723.29

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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.