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Finding the Fourth Proportional to 277,687.57, 416,445.12 and 100,171.48

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Solution

The fourth proportional to 277,687.57, 416,445.12 and 100,171.48 is: 150,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.57 : 416,445.12 = 100,171.48 : x
  2. Step 2: Convert to fraction form
    277,687.57/416,445.12 = 100,171.48/x
  3. Step 3: Cross multiply
    277,687.57x = 416,445.12 × 100,171.48
  4. Step 4: Simplify right side
    277,687.57x = 41,715,924,009.18
  5. Step 5: Solve for x
    x = 41,715,924,009.18/277,687.57
  6. Step 6: Final answer
    x = 150,226.11

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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.