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Finding the Fourth Proportional to 217,081.60, 299,609.70 and 126,491.28

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Solution

The fourth proportional to 217,081.60, 299,609.70 and 126,491.28 is: 174,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,081.60 : 299,609.70 = 126,491.28 : x
  2. Step 2: Convert to fraction form
    217,081.60/299,609.70 = 126,491.28/x
  3. Step 3: Cross multiply
    217,081.60x = 299,609.70 × 126,491.28
  4. Step 4: Simplify right side
    217,081.60x = 37,898,014,453.42
  5. Step 5: Solve for x
    x = 37,898,014,453.42/217,081.60
  6. Step 6: Final answer
    x = 174,579.58

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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.