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Finding the Fourth Proportional to 199,877.88, 275,828.22 and 109,232.76

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Solution

The fourth proportional to 199,877.88, 275,828.22 and 109,232.76 is: 150,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,877.88 : 275,828.22 = 109,232.76 : x
  2. Step 2: Convert to fraction form
    199,877.88/275,828.22 = 109,232.76/x
  3. Step 3: Cross multiply
    199,877.88x = 275,828.22 × 109,232.76
  4. Step 4: Simplify right side
    199,877.88x = 30,129,477,756.49
  5. Step 5: Solve for x
    x = 30,129,477,756.49/199,877.88
  6. Step 6: Final answer
    x = 150,739.43

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1.5x scale

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.