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Finding the Fourth Proportional to 138,963.52, 208,445.28 and 33,782.56

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Solution

The fourth proportional to 138,963.52, 208,445.28 and 33,782.56 is: 50,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.52 : 208,445.28 = 33,782.56 : x
  2. Step 2: Convert to fraction form
    138,963.52/208,445.28 = 33,782.56/x
  3. Step 3: Cross multiply
    138,963.52x = 208,445.28 × 33,782.56
  4. Step 4: Simplify right side
    138,963.52x = 7,041,815,178.32
  5. Step 5: Solve for x
    x = 7,041,815,178.32/138,963.52
  6. Step 6: Final answer
    x = 50,673.84

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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.