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Finding the Fourth Proportional to 138,036.45, 206,932.12 and 53,777.12

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Solution

The fourth proportional to 138,036.45, 206,932.12 and 53,777.12 is: 80,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,036.45 : 206,932.12 = 53,777.12 : x
  2. Step 2: Convert to fraction form
    138,036.45/206,932.12 = 53,777.12/x
  3. Step 3: Cross multiply
    138,036.45x = 206,932.12 × 53,777.12
  4. Step 4: Simplify right side
    138,036.45x = 11,128,212,279.99
  5. Step 5: Solve for x
    x = 11,128,212,279.99/138,036.45
  6. Step 6: Final answer
    x = 80,617.92

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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.