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Finding the Fourth Proportional to 205,986.88, 308,730.81 and 87,409.11

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Solution

The fourth proportional to 205,986.88, 308,730.81 and 87,409.11 is: 131,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,986.88 : 308,730.81 = 87,409.11 : x
  2. Step 2: Convert to fraction form
    205,986.88/308,730.81 = 87,409.11/x
  3. Step 3: Cross multiply
    205,986.88x = 308,730.81 × 87,409.11
  4. Step 4: Simplify right side
    205,986.88x = 26,985,885,331.68
  5. Step 5: Solve for x
    x = 26,985,885,331.68/205,986.88
  6. Step 6: Final answer
    x = 131,007.79

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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.