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Finding the Fourth Proportional to 199,648.20, 299,069.10 and 124,537.80

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Solution

The fourth proportional to 199,648.20, 299,069.10 and 124,537.80 is: 186,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648.20 : 299,069.10 = 124,537.80 : x
  2. Step 2: Convert to fraction form
    199,648.20/299,069.10 = 124,537.80/x
  3. Step 3: Cross multiply
    199,648.20x = 299,069.10 × 124,537.80
  4. Step 4: Simplify right side
    199,648.20x = 37,245,407,761.98
  5. Step 5: Solve for x
    x = 37,245,407,761.98/199,648.20
  6. Step 6: Final answer
    x = 186,555.19

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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.