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Finding the Fourth Proportional to 218,847.72, 302,048.10 and 129,429.48

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Solution

The fourth proportional to 218,847.72, 302,048.10 and 129,429.48 is: 178,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,847.72 : 302,048.10 = 129,429.48 : x
  2. Step 2: Convert to fraction form
    218,847.72/302,048.10 = 129,429.48/x
  3. Step 3: Cross multiply
    218,847.72x = 302,048.10 × 129,429.48
  4. Step 4: Simplify right side
    218,847.72x = 39,093,928,517.99
  5. Step 5: Solve for x
    x = 39,093,928,517.99/218,847.72
  6. Step 6: Final answer
    x = 178,635.30

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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.