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Finding the Fourth Proportional to 217,251.65, 299,824.94 and 120,465.11

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Solution

The fourth proportional to 217,251.65, 299,824.94 and 120,465.11 is: 166,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,251.65 : 299,824.94 = 120,465.11 : x
  2. Step 2: Convert to fraction form
    217,251.65/299,824.94 = 120,465.11/x
  3. Step 3: Cross multiply
    217,251.65x = 299,824.94 × 120,465.11
  4. Step 4: Simplify right side
    217,251.65x = 36,118,444,377.84
  5. Step 5: Solve for x
    x = 36,118,444,377.84/217,251.65
  6. Step 6: Final answer
    x = 166,251.65

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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.