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Finding the Fourth Proportional to 205,936.40, 308,933.40 and 87,606.80

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Solution

The fourth proportional to 205,936.40, 308,933.40 and 87,606.80 is: 131,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,936.40 : 308,933.40 = 87,606.80 : x
  2. Step 2: Convert to fraction form
    205,936.40/308,933.40 = 87,606.80/x
  3. Step 3: Cross multiply
    205,936.40x = 308,933.40 × 87,606.80
  4. Step 4: Simplify right side
    205,936.40x = 27,064,666,587.12
  5. Step 5: Solve for x
    x = 27,064,666,587.12/205,936.40
  6. Step 6: Final answer
    x = 131,422.45

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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.