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Finding the Fourth Proportional to 205,554.70, 308,086.62 and 105,762.70

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Solution

The fourth proportional to 205,554.70, 308,086.62 and 105,762.70 is: 158,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,554.70 : 308,086.62 = 105,762.70 : x
  2. Step 2: Convert to fraction form
    205,554.70/308,086.62 = 105,762.70/x
  3. Step 3: Cross multiply
    205,554.70x = 308,086.62 × 105,762.70
  4. Step 4: Simplify right side
    205,554.70x = 32,584,072,765.07
  5. Step 5: Solve for x
    x = 32,584,072,765.07/205,554.70
  6. Step 6: Final answer
    x = 158,517.77

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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.