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Finding the Fourth Proportional to 138,504.56, 207,756.84 and 33,323.53

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Solution

The fourth proportional to 138,504.56, 207,756.84 and 33,323.53 is: 49,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504.56 : 207,756.84 = 33,323.53 : x
  2. Step 2: Convert to fraction form
    138,504.56/207,756.84 = 33,323.53/x
  3. Step 3: Cross multiply
    138,504.56x = 207,756.84 × 33,323.53
  4. Step 4: Simplify right side
    138,504.56x = 6,923,191,290.45
  5. Step 5: Solve for x
    x = 6,923,191,290.45/138,504.56
  6. Step 6: Final answer
    x = 49,985.30

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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.