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Finding the Fourth Proportional to 199,471.80, 275,230.77 and 126,903.50

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Solution

The fourth proportional to 199,471.80, 275,230.77 and 126,903.50 is: 175,101.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,471.80 : 275,230.77 = 126,903.50 : x
  2. Step 2: Convert to fraction form
    199,471.80/275,230.77 = 126,903.50/x
  3. Step 3: Cross multiply
    199,471.80x = 275,230.77 × 126,903.50
  4. Step 4: Simplify right side
    199,471.80x = 34,927,748,020.70
  5. Step 5: Solve for x
    x = 34,927,748,020.70/199,471.80
  6. Step 6: Final answer
    x = 175,101.18

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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.