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Finding the Fourth Proportional to 272,242.90, 408,036.30 and 139,054.60

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Solution

The fourth proportional to 272,242.90, 408,036.30 and 139,054.60 is: 208,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,242.90 : 408,036.30 = 139,054.60 : x
  2. Step 2: Convert to fraction form
    272,242.90/408,036.30 = 139,054.60/x
  3. Step 3: Cross multiply
    272,242.90x = 408,036.30 × 139,054.60
  4. Step 4: Simplify right side
    272,242.90x = 56,739,324,481.98
  5. Step 5: Solve for x
    x = 56,739,324,481.98/272,242.90
  6. Step 6: Final answer
    x = 208,414.34

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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.