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Finding the Fourth Proportional to 138,590.34, 207,719.44 and 54,297.89

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Solution

The fourth proportional to 138,590.34, 207,719.44 and 54,297.89 is: 81,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,590.34 : 207,719.44 = 54,297.89 : x
  2. Step 2: Convert to fraction form
    138,590.34/207,719.44 = 54,297.89/x
  3. Step 3: Cross multiply
    138,590.34x = 207,719.44 × 54,297.89
  4. Step 4: Simplify right side
    138,590.34x = 11,278,728,077.01
  5. Step 5: Solve for x
    x = 11,278,728,077.01/138,590.34
  6. Step 6: Final answer
    x = 81,381.78

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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.