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Finding the Fourth Proportional to 210,648.96, 316,053.25 and 126,467.91

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Solution

The fourth proportional to 210,648.96, 316,053.25 and 126,467.91 is: 189,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,648.96 : 316,053.25 = 126,467.91 : x
  2. Step 2: Convert to fraction form
    210,648.96/316,053.25 = 126,467.91/x
  3. Step 3: Cross multiply
    210,648.96x = 316,053.25 × 126,467.91
  4. Step 4: Simplify right side
    210,648.96x = 39,970,593,660.04
  5. Step 5: Solve for x
    x = 39,970,593,660.04/210,648.96
  6. Step 6: Final answer
    x = 189,749.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.