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Finding the Fourth Proportional to 189,609.66, 284,304.46 and 89,769.01

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Solution

The fourth proportional to 189,609.66, 284,304.46 and 89,769.01 is: 134,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,609.66 : 284,304.46 = 89,769.01 : x
  2. Step 2: Convert to fraction form
    189,609.66/284,304.46 = 89,769.01/x
  3. Step 3: Cross multiply
    189,609.66x = 284,304.46 × 89,769.01
  4. Step 4: Simplify right side
    189,609.66x = 25,521,729,426.51
  5. Step 5: Solve for x
    x = 25,521,729,426.51/189,609.66
  6. Step 6: Final answer
    x = 134,601.42

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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.