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Finding the Fourth Proportional to 217,041.93, 299,519.97 and 120,247.85

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Solution

The fourth proportional to 217,041.93, 299,519.97 and 120,247.85 is: 165,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,041.93 : 299,519.97 = 120,247.85 : x
  2. Step 2: Convert to fraction form
    217,041.93/299,519.97 = 120,247.85/x
  3. Step 3: Cross multiply
    217,041.93x = 299,519.97 × 120,247.85
  4. Step 4: Simplify right side
    217,041.93x = 36,016,630,926.96
  5. Step 5: Solve for x
    x = 36,016,630,926.96/217,041.93
  6. Step 6: Final answer
    x = 165,943.19

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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.