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Finding the Fourth Proportional to 239,878.28, 359,819.26 and 82,108.10

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Solution

The fourth proportional to 239,878.28, 359,819.26 and 82,108.10 is: 123,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,878.28 : 359,819.26 = 82,108.10 : x
  2. Step 2: Convert to fraction form
    239,878.28/359,819.26 = 82,108.10/x
  3. Step 3: Cross multiply
    239,878.28x = 359,819.26 × 82,108.10
  4. Step 4: Simplify right side
    239,878.28x = 29,544,075,782.01
  5. Step 5: Solve for x
    x = 29,544,075,782.01/239,878.28
  6. Step 6: Final answer
    x = 123,162.78

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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.