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Finding the Fourth Proportional to 177,992.80, 266,989.20 and 72,776.80

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Solution

The fourth proportional to 177,992.80, 266,989.20 and 72,776.80 is: 109,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,992.80 : 266,989.20 = 72,776.80 : x
  2. Step 2: Convert to fraction form
    177,992.80/266,989.20 = 72,776.80/x
  3. Step 3: Cross multiply
    177,992.80x = 266,989.20 × 72,776.80
  4. Step 4: Simplify right side
    177,992.80x = 19,430,619,610.56
  5. Step 5: Solve for x
    x = 19,430,619,610.56/177,992.80
  6. Step 6: Final answer
    x = 109,165.20

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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.