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Finding the Fourth Proportional to 138,530.45, 207,795.71 and 33,349.43

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Solution

The fourth proportional to 138,530.45, 207,795.71 and 33,349.43 is: 50,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.45 : 207,795.71 = 33,349.43 : x
  2. Step 2: Convert to fraction form
    138,530.45/207,795.71 = 33,349.43/x
  3. Step 3: Cross multiply
    138,530.45x = 207,795.71 × 33,349.43
  4. Step 4: Simplify right side
    138,530.45x = 6,929,869,087.81
  5. Step 5: Solve for x
    x = 6,929,869,087.81/138,530.45
  6. Step 6: Final answer
    x = 50,024.16

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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.