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Finding the Fourth Proportional to 189,122.78, 283,684.38 and 109,282.30

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Solution

The fourth proportional to 189,122.78, 283,684.38 and 109,282.30 is: 163,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,122.78 : 283,684.38 = 109,282.30 : x
  2. Step 2: Convert to fraction form
    189,122.78/283,684.38 = 109,282.30/x
  3. Step 3: Cross multiply
    189,122.78x = 283,684.38 × 109,282.30
  4. Step 4: Simplify right side
    189,122.78x = 31,001,680,401.45
  5. Step 5: Solve for x
    x = 31,001,680,401.45/189,122.78
  6. Step 6: Final answer
    x = 163,923.56

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1.5x scale

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.