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Finding the Fourth Proportional to 123,990, 185,985.09 and 40,884

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Solution

The fourth proportional to 123,990, 185,985.09 and 40,884 is: 61,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,990 : 185,985.09 = 40,884 : x
  2. Step 2: Convert to fraction form
    123,990/185,985.09 = 40,884/x
  3. Step 3: Cross multiply
    123,990x = 185,985.09 × 40,884
  4. Step 4: Simplify right side
    123,990x = 7,603,814,419.56
  5. Step 5: Solve for x
    x = 7,603,814,419.56/123,990
  6. Step 6: Final answer
    x = 61,326.03

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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.