Home / 205,403.10-308,203.29-100,164.66

Finding the Fourth Proportional to 205,403.10, 308,203.29 and 100,164.66

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Solution

The fourth proportional to 205,403.10, 308,203.29 and 100,164.66 is: 150,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,403.10 : 308,203.29 = 100,164.66 : x
  2. Step 2: Convert to fraction form
    205,403.10/308,203.29 = 100,164.66/x
  3. Step 3: Cross multiply
    205,403.10x = 308,203.29 × 100,164.66
  4. Step 4: Simplify right side
    205,403.10x = 30,871,077,753.73
  5. Step 5: Solve for x
    x = 30,871,077,753.73/205,403.10
  6. Step 6: Final answer
    x = 150,295.09

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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.