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Finding the Fourth Proportional to 199,761.88, 275,669.48 and 109,117.80

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Solution

The fourth proportional to 199,761.88, 275,669.48 and 109,117.80 is: 150,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,761.88 : 275,669.48 = 109,117.80 : x
  2. Step 2: Convert to fraction form
    199,761.88/275,669.48 = 109,117.80/x
  3. Step 3: Cross multiply
    199,761.88x = 275,669.48 × 109,117.80
  4. Step 4: Simplify right side
    199,761.88x = 30,080,447,184.74
  5. Step 5: Solve for x
    x = 30,080,447,184.74/199,761.88
  6. Step 6: Final answer
    x = 150,581.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.