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Finding the Fourth Proportional to 205,443.66, 307,936.51 and 85,433.41

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Solution

The fourth proportional to 205,443.66, 307,936.51 and 85,433.41 is: 128,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443.66 : 307,936.51 = 85,433.41 : x
  2. Step 2: Convert to fraction form
    205,443.66/307,936.51 = 85,433.41/x
  3. Step 3: Cross multiply
    205,443.66x = 307,936.51 × 85,433.41
  4. Step 4: Simplify right side
    205,443.66x = 26,308,065,129.37
  5. Step 5: Solve for x
    x = 26,308,065,129.37/205,443.66
  6. Step 6: Final answer
    x = 128,054.89

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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.