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Finding the Fourth Proportional to 189,676.80, 261,763.20 and 104,803.20

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Solution

The fourth proportional to 189,676.80, 261,763.20 and 104,803.20 is: 144,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,676.80 : 261,763.20 = 104,803.20 : x
  2. Step 2: Convert to fraction form
    189,676.80/261,763.20 = 104,803.20/x
  3. Step 3: Cross multiply
    189,676.80x = 261,763.20 × 104,803.20
  4. Step 4: Simplify right side
    189,676.80x = 27,433,621,002.24
  5. Step 5: Solve for x
    x = 27,433,621,002.24/189,676.80
  6. Step 6: Final answer
    x = 144,633.51

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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.