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Finding the Fourth Proportional to 217,325.28, 299,890.80 and 121,828.80

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Solution

The fourth proportional to 217,325.28, 299,890.80 and 121,828.80 is: 168,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,325.28 : 299,890.80 = 121,828.80 : x
  2. Step 2: Convert to fraction form
    217,325.28/299,890.80 = 121,828.80/x
  3. Step 3: Cross multiply
    217,325.28x = 299,890.80 × 121,828.80
  4. Step 4: Simplify right side
    217,325.28x = 36,535,336,295.04
  5. Step 5: Solve for x
    x = 36,535,336,295.04/217,325.28
  6. Step 6: Final answer
    x = 168,113.61

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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.