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Finding the Fourth Proportional to 189,904.97, 284,997.41 and 90,065.45

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Solution

The fourth proportional to 189,904.97, 284,997.41 and 90,065.45 is: 135,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,904.97 : 284,997.41 = 90,065.45 : x
  2. Step 2: Convert to fraction form
    189,904.97/284,997.41 = 90,065.45/x
  3. Step 3: Cross multiply
    189,904.97x = 284,997.41 × 90,065.45
  4. Step 4: Simplify right side
    189,904.97x = 25,668,419,980.48
  5. Step 5: Solve for x
    x = 25,668,419,980.48/189,904.97
  6. Step 6: Final answer
    x = 135,164.55

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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.