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Finding the Fourth Proportional to 217,751.05, 300,500.29 and 120,963.65

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Solution

The fourth proportional to 217,751.05, 300,500.29 and 120,963.65 is: 166,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,751.05 : 300,500.29 = 120,963.65 : x
  2. Step 2: Convert to fraction form
    217,751.05/300,500.29 = 120,963.65/x
  3. Step 3: Cross multiply
    217,751.05x = 300,500.29 × 120,963.65
  4. Step 4: Simplify right side
    217,751.05x = 36,349,613,258.74
  5. Step 5: Solve for x
    x = 36,349,613,258.74/217,751.05
  6. Step 6: Final answer
    x = 166,931.98

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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.