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Finding the Fourth Proportional to 70,876.08, 106,380 and 35,840.88

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Solution

The fourth proportional to 70,876.08, 106,380 and 35,840.88 is: 53,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.08 : 106,380 = 35,840.88 : x
  2. Step 2: Convert to fraction form
    70,876.08/106,380 = 35,840.88/x
  3. Step 3: Cross multiply
    70,876.08x = 106,380 × 35,840.88
  4. Step 4: Simplify right side
    70,876.08x = 3,812,752,814.40
  5. Step 5: Solve for x
    x = 3,812,752,814.40/70,876.08
  6. Step 6: Final answer
    x = 53,794.63

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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.