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Finding the Fourth Proportional to 211,297.56, 317,227.92 and 122,614.68

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Solution

The fourth proportional to 211,297.56, 317,227.92 and 122,614.68 is: 184,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,297.56 : 317,227.92 = 122,614.68 : x
  2. Step 2: Convert to fraction form
    211,297.56/317,227.92 = 122,614.68/x
  3. Step 3: Cross multiply
    211,297.56x = 317,227.92 × 122,614.68
  4. Step 4: Simplify right side
    211,297.56x = 38,896,799,897.87
  5. Step 5: Solve for x
    x = 38,896,799,897.87/211,297.56
  6. Step 6: Final answer
    x = 184,085.42

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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.