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Finding the Fourth Proportional to 177,351, 266,076.50 and 72,245.40

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Solution

The fourth proportional to 177,351, 266,076.50 and 72,245.40 is: 108,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,351 : 266,076.50 = 72,245.40 : x
  2. Step 2: Convert to fraction form
    177,351/266,076.50 = 72,245.40/x
  3. Step 3: Cross multiply
    177,351x = 266,076.50 × 72,245.40
  4. Step 4: Simplify right side
    177,351x = 19,222,803,173.10
  5. Step 5: Solve for x
    x = 19,222,803,173.10/177,351
  6. Step 6: Final answer
    x = 108,388.47

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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.