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Finding the Fourth Proportional to 252,235.98, 377,999.91 and 138,090.34

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Solution

The fourth proportional to 252,235.98, 377,999.91 and 138,090.34 is: 206,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,235.98 : 377,999.91 = 138,090.34 : x
  2. Step 2: Convert to fraction form
    252,235.98/377,999.91 = 138,090.34/x
  3. Step 3: Cross multiply
    252,235.98x = 377,999.91 × 138,090.34
  4. Step 4: Simplify right side
    252,235.98x = 52,198,137,239.11
  5. Step 5: Solve for x
    x = 52,198,137,239.11/252,235.98
  6. Step 6: Final answer
    x = 206,941.68

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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.