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Finding the Fourth Proportional to 217,074.96, 299,709.72 and 135,527.49

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Solution

The fourth proportional to 217,074.96, 299,709.72 and 135,527.49 is: 187,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,074.96 : 299,709.72 = 135,527.49 : x
  2. Step 2: Convert to fraction form
    217,074.96/299,709.72 = 135,527.49/x
  3. Step 3: Cross multiply
    217,074.96x = 299,709.72 × 135,527.49
  4. Step 4: Simplify right side
    217,074.96x = 40,618,906,080.20
  5. Step 5: Solve for x
    x = 40,618,906,080.20/217,074.96
  6. Step 6: Final answer
    x = 187,119.26

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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.