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Finding the Fourth Proportional to 198,700.68, 274,206.78 and 109,276.68

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Solution

The fourth proportional to 198,700.68, 274,206.78 and 109,276.68 is: 150,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,700.68 : 274,206.78 = 109,276.68 : x
  2. Step 2: Convert to fraction form
    198,700.68/274,206.78 = 109,276.68/x
  3. Step 3: Cross multiply
    198,700.68x = 274,206.78 × 109,276.68
  4. Step 4: Simplify right side
    198,700.68x = 29,964,406,551.89
  5. Step 5: Solve for x
    x = 29,964,406,551.89/198,700.68
  6. Step 6: Final answer
    x = 150,801.73

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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.