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Finding the Fourth Proportional to 138,403.93, 207,605.90 and 33,222.90

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Solution

The fourth proportional to 138,403.93, 207,605.90 and 33,222.90 is: 49,834.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.93 : 207,605.90 = 33,222.90 : x
  2. Step 2: Convert to fraction form
    138,403.93/207,605.90 = 33,222.90/x
  3. Step 3: Cross multiply
    138,403.93x = 207,605.90 × 33,222.90
  4. Step 4: Simplify right side
    138,403.93x = 6,897,269,316.80
  5. Step 5: Solve for x
    x = 6,897,269,316.80/138,403.93
  6. Step 6: Final answer
    x = 49,834.35

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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.