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Finding the Fourth Proportional to 227,542.50, 314,008.79 and 126,940.50

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Solution

The fourth proportional to 227,542.50, 314,008.79 and 126,940.50 is: 175,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,542.50 : 314,008.79 = 126,940.50 : x
  2. Step 2: Convert to fraction form
    227,542.50/314,008.79 = 126,940.50/x
  3. Step 3: Cross multiply
    227,542.50x = 314,008.79 × 126,940.50
  4. Step 4: Simplify right side
    227,542.50x = 39,860,432,172.29
  5. Step 5: Solve for x
    x = 39,860,432,172.29/227,542.50
  6. Step 6: Final answer
    x = 175,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.