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Finding the Fourth Proportional to 205,066.68, 307,583.28 and 91,249.80

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Solution

The fourth proportional to 205,066.68, 307,583.28 and 91,249.80 is: 136,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,066.68 : 307,583.28 = 91,249.80 : x
  2. Step 2: Convert to fraction form
    205,066.68/307,583.28 = 91,249.80/x
  3. Step 3: Cross multiply
    205,066.68x = 307,583.28 × 91,249.80
  4. Step 4: Simplify right side
    205,066.68x = 28,066,912,783.34
  5. Step 5: Solve for x
    x = 28,066,912,783.34/205,066.68
  6. Step 6: Final answer
    x = 136,867.25

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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.