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Finding the Fourth Proportional to 70,738.50, 106,120.17 and 28,616.88

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Solution

The fourth proportional to 70,738.50, 106,120.17 and 28,616.88 is: 42,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,738.50 : 106,120.17 = 28,616.88 : x
  2. Step 2: Convert to fraction form
    70,738.50/106,120.17 = 28,616.88/x
  3. Step 3: Cross multiply
    70,738.50x = 106,120.17 × 28,616.88
  4. Step 4: Simplify right side
    70,738.50x = 3,036,828,170.47
  5. Step 5: Solve for x
    x = 3,036,828,170.47/70,738.50
  6. Step 6: Final answer
    x = 42,930.34

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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.