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Finding the Fourth Proportional to 205,138, 283,090.80 and 115,714

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Solution

The fourth proportional to 205,138, 283,090.80 and 115,714 is: 159,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,138 : 283,090.80 = 115,714 : x
  2. Step 2: Convert to fraction form
    205,138/283,090.80 = 115,714/x
  3. Step 3: Cross multiply
    205,138x = 283,090.80 × 115,714
  4. Step 4: Simplify right side
    205,138x = 32,757,568,831.20
  5. Step 5: Solve for x
    x = 32,757,568,831.20/205,138
  6. Step 6: Final answer
    x = 159,685.52

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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.