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Finding the Fourth Proportional to 123,556, 185,335.62 and 40,450

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Solution

The fourth proportional to 123,556, 185,335.62 and 40,450 is: 60,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,556 : 185,335.62 = 40,450 : x
  2. Step 2: Convert to fraction form
    123,556/185,335.62 = 40,450/x
  3. Step 3: Cross multiply
    123,556x = 185,335.62 × 40,450
  4. Step 4: Simplify right side
    123,556x = 7,496,825,829
  5. Step 5: Solve for x
    x = 7,496,825,829/123,556
  6. Step 6: Final answer
    x = 60,675.53

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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.