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Finding the Fourth Proportional to 189,474.62, 261,476.80 and 104,589.86

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Solution

The fourth proportional to 189,474.62, 261,476.80 and 104,589.86 is: 144,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474.62 : 261,476.80 = 104,589.86 : x
  2. Step 2: Convert to fraction form
    189,474.62/261,476.80 = 104,589.86/x
  3. Step 3: Cross multiply
    189,474.62x = 261,476.80 × 104,589.86
  4. Step 4: Simplify right side
    189,474.62x = 27,347,821,905.25
  5. Step 5: Solve for x
    x = 27,347,821,905.25/189,474.62
  6. Step 6: Final answer
    x = 144,335.01

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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.