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Finding the Fourth Proportional to 189,708.88, 261,797.88 and 109,134.40

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Solution

The fourth proportional to 189,708.88, 261,797.88 and 109,134.40 is: 150,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,708.88 : 261,797.88 = 109,134.40 : x
  2. Step 2: Convert to fraction form
    189,708.88/261,797.88 = 109,134.40/x
  3. Step 3: Cross multiply
    189,708.88x = 261,797.88 × 109,134.40
  4. Step 4: Simplify right side
    189,708.88x = 28,571,154,555.07
  5. Step 5: Solve for x
    x = 28,571,154,555.07/189,708.88
  6. Step 6: Final answer
    x = 150,605.26

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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.