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Finding the Fourth Proportional to 126,523.20, 189,843.84 and 56,395.20

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Solution

The fourth proportional to 126,523.20, 189,843.84 and 56,395.20 is: 84,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,523.20 : 189,843.84 = 56,395.20 : x
  2. Step 2: Convert to fraction form
    126,523.20/189,843.84 = 56,395.20/x
  3. Step 3: Cross multiply
    126,523.20x = 189,843.84 × 56,395.20
  4. Step 4: Simplify right side
    126,523.20x = 10,706,281,325.57
  5. Step 5: Solve for x
    x = 10,706,281,325.57/126,523.20
  6. Step 6: Final answer
    x = 84,619.12

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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.