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Finding the Fourth Proportional to 217,012.83, 299,474.45 and 120,216.39

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Solution

The fourth proportional to 217,012.83, 299,474.45 and 120,216.39 is: 165,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,012.83 : 299,474.45 = 120,216.39 : x
  2. Step 2: Convert to fraction form
    217,012.83/299,474.45 = 120,216.39/x
  3. Step 3: Cross multiply
    217,012.83x = 299,474.45 × 120,216.39
  4. Step 4: Simplify right side
    217,012.83x = 36,001,736,002.94
  5. Step 5: Solve for x
    x = 36,001,736,002.94/217,012.83
  6. Step 6: Final answer
    x = 165,896.81

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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.