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Finding the Fourth Proportional to 217,503.81, 300,157.65 and 120,709.08

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Solution

The fourth proportional to 217,503.81, 300,157.65 and 120,709.08 is: 166,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,503.81 : 300,157.65 = 120,709.08 : x
  2. Step 2: Convert to fraction form
    217,503.81/300,157.65 = 120,709.08/x
  3. Step 3: Cross multiply
    217,503.81x = 300,157.65 × 120,709.08
  4. Step 4: Simplify right side
    217,503.81x = 36,231,753,786.46
  5. Step 5: Solve for x
    x = 36,231,753,786.46/217,503.81
  6. Step 6: Final answer
    x = 166,579.86

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1.5x scale

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.