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Finding the Fourth Proportional to 217,000.96, 299,448 and 121,491.52

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Solution

The fourth proportional to 217,000.96, 299,448 and 121,491.52 is: 167,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,000.96 : 299,448 = 121,491.52 : x
  2. Step 2: Convert to fraction form
    217,000.96/299,448 = 121,491.52/x
  3. Step 3: Cross multiply
    217,000.96x = 299,448 × 121,491.52
  4. Step 4: Simplify right side
    217,000.96x = 36,380,392,680.96
  5. Step 5: Solve for x
    x = 36,380,392,680.96/217,000.96
  6. Step 6: Final answer
    x = 167,650.84

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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.