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Finding the Fourth Proportional to 138,709.80, 208,064.76 and 33,528.78

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Solution

The fourth proportional to 138,709.80, 208,064.76 and 33,528.78 is: 50,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,709.80 : 208,064.76 = 33,528.78 : x
  2. Step 2: Convert to fraction form
    138,709.80/208,064.76 = 33,528.78/x
  3. Step 3: Cross multiply
    138,709.80x = 208,064.76 × 33,528.78
  4. Step 4: Simplify right side
    138,709.80x = 6,976,157,563.79
  5. Step 5: Solve for x
    x = 6,976,157,563.79/138,709.80
  6. Step 6: Final answer
    x = 50,293.18

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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.