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Finding the Fourth Proportional to 189,008.80, 283,731.90 and 109,110.40

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Solution

The fourth proportional to 189,008.80, 283,731.90 and 109,110.40 is: 163,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.80 : 283,731.90 = 109,110.40 : x
  2. Step 2: Convert to fraction form
    189,008.80/283,731.90 = 109,110.40/x
  3. Step 3: Cross multiply
    189,008.80x = 283,731.90 × 109,110.40
  4. Step 4: Simplify right side
    189,008.80x = 30,958,101,101.76
  5. Step 5: Solve for x
    x = 30,958,101,101.76/189,008.80
  6. Step 6: Final answer
    x = 163,791.85

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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.