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Finding the Fourth Proportional to 99,991.62, 150,048.18 and 47,406.42

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Solution

The fourth proportional to 99,991.62, 150,048.18 and 47,406.42 is: 71,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,991.62 : 150,048.18 = 47,406.42 : x
  2. Step 2: Convert to fraction form
    99,991.62/150,048.18 = 47,406.42/x
  3. Step 3: Cross multiply
    99,991.62x = 150,048.18 × 47,406.42
  4. Step 4: Simplify right side
    99,991.62x = 7,113,247,041.32
  5. Step 5: Solve for x
    x = 7,113,247,041.32/99,991.62
  6. Step 6: Final answer
    x = 71,138.43

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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.