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Finding the Fourth Proportional to 199,542.60, 299,053.98 and 81,075.44

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Solution

The fourth proportional to 199,542.60, 299,053.98 and 81,075.44 is: 121,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,542.60 : 299,053.98 = 81,075.44 : x
  2. Step 2: Convert to fraction form
    199,542.60/299,053.98 = 81,075.44/x
  3. Step 3: Cross multiply
    199,542.60x = 299,053.98 × 81,075.44
  4. Step 4: Simplify right side
    199,542.60x = 24,245,933,012.25
  5. Step 5: Solve for x
    x = 24,245,933,012.25/199,542.60
  6. Step 6: Final answer
    x = 121,507.55

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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.